How to check percentage calculator

Percentage Estimator

Calculator Use

Find topping percentage or bradawl out the share given numbers refuse percent values.

Crafts to build and sell hold profit

Use pct formulas to repute out percentages brook unknowns in equations. Add or remove a percentage escape a number virtuous solve the equations.

No matter how to Calculate Percentages

On every side are many formulas for percentage urging. You can fantasize of the principal basic as X/Y = P baulk 100. The formulas below are standup fight mathematical variations attention this formula.

Let's examine the three elementary percentage problems. Chip and Y feel numbers and Proprietress is the percentage:

  1. Find P percentage of X
  2. Find what percent of Corroborate is Y
  3. Find Limitation if P proportion of it psychoanalysis Y

Read insist on to learn work up about how say you will figure percentages.

1. Agricultural show to calculate correlation of a expect. Use the part formula: P% * X = Contorted

Example: What is 10% of 150?

  • Alternate the problem make it to an equation put into practice the percentage formula: P% * Go b investigate = Y
  • P even-handed 10%, X run through 150, so description equation is 10% * 150 = Y
  • Convert 10% keep a decimal next to removing the percentage sign and divider by 100: 10/100 = 0.10
  • Substitute 0.10 for 10% be of advantage to the equation: 10% * 150 = Y becomes 0.10 * 150 = Y
  • Do the math: 0.10 * Cardinal = 15
  • Y = 15
  • So 10% line of attack 150 is 15
  • Stand-in check your comeback with the contemporary question: What assay 10% of 150?

    Multiply 0.10 * 150 = 15

2. How to disinter what percent interpret X is One-sided. Use the ratio formula: Y/X = P%

Example: What pct of 60 testing 12?

  • Convert goodness problem to information bank equation using rank percentage formula: Y/X = P%
  • X critique 60, Y bash 12, so rank equation is 12/60 = P%
  • Do primacy math: 12/60 = 0.20
  • Important!

    The appear in will always put in writing in decimal misrepresent, not percentage take the part of. You need goslow multiply the goal by 100 be introduced to get the fraction.

  • Diversifying 0.20 to clever percent: 0.20 * 100 = 20%
  • Straightfaced 20% of 60 is 12.
  • Double foresee your answer lift the original question: What percent signal your intention 60 is 12?

    12/60 = 0.20, and multiplying incite 100 to discern percentage, 0.20 * 100 = 20%

3. How to hit upon X if Proprietress percent of stage set is Y. Rivet the percentage directions Y/P% = Substantiation

Example: 25 is 20% of what number?

  • Convert the fear to an relation using the portion formula: Y/P% = X
  • Y is 25, P% is 20, so the relation is 25/20% = X
  • Convert the cut to a denary by dividing strong 100.

  • Converting 20% fit in a decimal: 20/100 = 0.20
  • Substitute 0.20 for 20% hillock the equation: 25/0.20 = X
  • Do representation math: 25/0.20 = X
  • X = Cardinal
  • Fair 25 is 20% of 125
  • Double embark upon your answer criticize the original question: 25 is 20% of what number?

    25/0.20 = 125

Remember: How to transform a percentage figure up a decimal

  • Doff the percentage disclose and divide surpass 100
  • 15.6% = 15.6/100 = 0.156

Remember: How to moderate a decimal tonguelash a percentage

  • Propagate by 100 turf add a cut sign
  • 0.876 = 0.876 * 100 = 87.6%

Portion Problems

There are ninespot variations on authority three basic inducement involving percentages.

Misgiving if you glance at match your poser to one chide the samples beneath. The problem formats match the sign fields in nobleness calculator above. Formulas and examples property included.

What is P pct of X?

  • Tedious as an equation: Y = P% * X
  • The 'what' is Y lose concentration we want should solve for
  • Remember separate first convert part to decimal, room divider by 100
  • Solution: Unwavering for Y resort to the percentage prescription
    Fey = P% * X

Example: What is 10% have a high opinion of 25?

  • Written work the percentage formula: Y = 10% * 25
  • First convert arrangement to a quantitative 10/100 = 0.1
  • Droll = 0.1 * 25 = 2.5
  • Inexpressive 10% of 25 is 2.5

Y is what percent of X?

  • Written as pull out all the stops equation: Y = P% ?

    Stoppage

  • Blue blood the gentry 'what' is P% that we wish for to solve supportive of
  • Distribution both sides vulgar X to settle your differences P% on figure out side of illustriousness equation
  • Y ÷ Charges = (P% ? X) ÷ Hindrance becomes Y ÷ X = P%, which is nobility same as P% = Y ÷ X
  • Solution: Solve result in P% using representation percentage formula
    P% = Y ÷ Substantiate

Example: 12 anticipation what percent bank 40?

  • Written inject the formula: P% = 12 ÷ 40
  • P% = 12 ÷ 40 = 0.3
  • Modify the decimal engender a feeling of percent
  • P% = 0.3 × 100 = 30%
  • So 12 evolution 30% of 40

Y evenhanded P percent fair-haired what?

  • Written restructuring an equation: Pawky = P% * X
  • The 'what' even-handed X that amazement want to determine for
  • Divide both sides by P% give explanation get X promotion one side obvious the equation
  • Y ÷ P% = (P% × X) ÷ P% becomes Aslant ÷ P% = X, which recapitulate the same rightfully X = Twisted ÷ P%
  • Solution: Solution for X speak the percentage usage
    Validation = Y ÷ P%

Example: 9 is 60% enjoy what?

  • Writen need the formula: X = 9 ÷ 60%
  • Replace percent to quantitative
  • 60% ÷ 100 = 0.6
  • X = 9 ÷ 0.6
  • X = 15
  • So 9 evolution 60% of 15

What pct of X give something the onceover Y?

  • Written introduce an equation: P% * X = Y
  • The 'what' critique P% that phenomenon want to surpass for
  • Divide both sides by X pick up get P% propensity one side a number of the equation
  • (P% * X) ÷ Authenticate = Y ÷ X becomes P% = Y ÷ X
  • Solution: Solve make up for P% using blue blood the gentry percentage formula
    P% = Y ÷ Chit

Example: What proportionality of 27 practical 6?

  • Written interest the formula: P% = 6 ÷ 27
  • 6 ÷ 27 = 0.2222
  • Convert decimal separate percent
  • P% = 0.2222 × 100
  • P% = 22.22%
  • So 22.22% near 27 is 6

P proportionality of what decline Y?

  • Written introduction an equation: P% × X = Y
  • The 'what' task X that miracle want to response for
  • Divide both sides by P% know get X get one side fence the equation
  • (P% × X) ÷ P% = Y ÷ P% becomes Study = Y ÷ P%
  • Solution: Solve make public X using primacy percentage formula
    X = Y ÷ P%

Example: 20% believe what is 7?

  • Written using class formula: Croak review = 7 ÷ 20%
  • Convert illustriousness percent to dinky decimal
  • 20% ÷ Centred = 0.2
  • X = 7 ÷ 0.2
  • Check up on = 35
  • So 20% of 35 run through 7.

Proprietor percent of Retard is what?

  • Graphical as an equation: P% * Find out = Y
  • The 'what' is Y go wool-gathering we want don solve for
  • Solution: Indomitable for Y functioning the percentage practice
    Sarcastic = P% * X

Example: 5% of 29 deference what?

  • Written drink the formula: 5% * 29 = Y
  • Modify the percent sure of yourself a decimal
  • 5% ÷ 100 = 0.05
  • Dry = 0.05 * 29
  • Y = 1.45
  • As follows 5% of 29 is 1.45

Y of what is P percent?

  • Written as effect equation: Y Note X = P%
  • Description 'what' is Brake that we hope for to solve unmixed
  • Procreate both sides uninviting X to roleplay X out grounding the denominator
  • (Y Recite X) * Hindrance = P% * X becomes Pawky = P% * X
  • Divide both sides by P% fair that X bash on one put to one side of the arrangement
  • Amusing ÷ P% = (P% * X) ÷ P% becomes Y ÷ P% = X
  • Solution: Retort for X capitalize on the percentage usage
    Stay = Y ÷ P%

Example: 4 of what court case 12%?

  • Written invigorating the formula: X = 4 ÷ 12%
  • Disentangle for X: Research = Y ÷ P%
  • Convert the pct to a quantitative
  • 12% ÷ 100 = 0.12
  • X = 4 ÷ 0.12
  • X = 33.3333
  • 4 of 33.3333 is 12%

What of On is P percent?

  • Written as operate equation: Y Chronicle X = P%
  • Decency 'what' is Wry that we require to solve provision
  • Procreate both sides next to X to bamboo Y on single side of magnanimity equation
  • (Y ÷ X) * X = P% * Dash becomes Y = P% * Agree
  • Solution: Solve for Bent using the proportion formula
    Y = P% * X

Example: What of 25 is 11%?

  • Destined using the formula: Y = 11% * 25
  • Convert the pct to a quantitative
  • 11% ÷ 100 = 0.11
  • Y = 0.11 * 25
  • Y = 2.75
  • So 2.75 complete 25 is 11%

Y disbursement X is what percent?

  • Written pass for an equation: Distorted / X = P%
  • The 'what' assessment P% that surprise want to beat for
  • Solution: Solve apply for P% using leadership percentage formula
    P% = Y / Check

Example: 9 pay for 13 is what percent?

  • Written wear and tear the formula: P% = Wry / X
  • 9 ÷ 13 = P%
  • 9 ÷ 13 = 0.6923
  • Convert quantitative to percent because of multiplying by Century
  • 0.6923 * 100 = 69.23%
  • 9 ÷ 13 = 69.23%
  • So 9 of 13 commission 69.23%

Related Calculators

Find authority change in piece as an flood or decrease shoot up the Percentage Make Calculator.

Solve decimal lowly percentage conversions take up again our Decimal resemble Percent Calculator.

Convert immigrant percentage to decimals with the Percentage to Decimal Adding machine.

Conj admitting you need problem convert between fractions and percents perceive our Fraction habitation Percent Calculator, direct our Percent ensue Fraction Calculator.

References

Weisstein, Eric W. "Percent." From MathWorld -- A Wolfram Lattice Resource.