Choose: WHAT is P% of X? Y is WHAT percent of X? Y is P% of WHAT? WHAT % of X is Y? P% of WHAT is Y? P% of X is WHAT? Y out of WHAT is P%? WHAT out of X is P%? Y out of X is WHAT %? X plus P% is WHAT? X plus WHAT % is Y? WHAT plus P% is Y? X minus P% is WHAT? X minus WHAT % is Y? WHAT minus P% is Y?
*

*

Calculator Use

Find a percent or work-related out the percentage given numbers and percent worths. Use percent formulregarding figure out percentages and also unknowns in equations. Add or subtract a percent from a number or resolve the equations.

You are watching: 12 is 30 percent of what number

How to Calculate Percentages

Tright here are many formulas for percent difficulties. You deserve to think of the the majority of standard as X/Y = P x 100. The formulas below are all mathematical variations of this formula.

Let"s explore the 3 basic portion problems. X and also Y are numbers and also P is the percentage:

Find P percent of X Find what percent of X is Y Find X if P percent of it is Y

Read on to learn more about exactly how to number percentages.

See more: Distance From Los Angeles To New York As The Crow Flies, Distances From Los Angeles

1. How to calculate percent of a number. Use the percentage formula: P% * X = Y

Example: What is 10% of 150?

Convert the problem to an equation using the percentage formula: P% * X = Y P is 10%, X is 150, so the equation is 10% * 150 = Y Convert 10% to a decimal by rerelocating the percent authorize and separating by 100: 10/100 = 0.10 Substitute 0.10 for 10% in the equation: 10% * 150 = Y becomes 0.10 * 150 = Y Do the math: 0.10 * 150 = 15 Y = 15 So 10% of 150 is 15 Double check your answer via the original question: What is 10% of 150? Multiply 0.10 * 150 = 15

2. How to find what percent of X is Y. Use the portion formula: Y/X = P%

Example: What percent of 60 is 12?

Convert the problem to an equation using the portion formula: Y/X = P% X is 60, Y is 12, so the equation is 12/60 = P% Do the math: 12/60 = 0.20 Important! The result will constantly be in decimal form, not percent form. You should multiply the outcome by 100 to get the percent. Converting 0.20 to a percent: 0.20 * 100 = 20% So 20% of 60 is 12. Double check your answer via the original question: What percent of 60 is 12? 12/60 = 0.20, and multiplying by 100 to obtain percentage, 0.20 * 100 = 20%

3. How to find X if P percent of it is Y. Use the portion formula Y/P% = X

Example: 25 is 20% of what number?

Convert the trouble to an equation utilizing the portion formula: Y/P% = X Y is 25, P% is 20, so the equation is 25/20% = X Convert the percent to a decimal by splitting by 100. Converting 20% to a decimal: 20/100 = 0.20 Substitute 0.20 for 20% in the equation: 25/0.20 = X Do the math: 25/0.20 = X X = 125 So 25 is 20% of 125 Double check your answer with the original question: 25 is 20% of what number? 25/0.20 = 125

Remember: How to transform a percent to a decimal

Rerelocate the portion sign and divide by 100 15.6% = 15.6/100 = 0.156

Remember: How to convert a decimal to a percentage

Multiply by 100 and also include a portion sign 0.876 = 0.876 * 100 = 87.6%

Percentage Problems

There are nine variations on the three standard problems involving percenteras. See if you can match your difficulty to one of the samples below. The problem styles match the input fields in the calculator above. Formulas and examples are included.


What is P percent of X?

Written as an equation: Y = P% * X The "what" is Y that we desire to resolve for Remember to first convert percentage to decimal, separating by 100 Solution: Solve for Y making use of the portion formula Y = P% * X

Example: What is 10% of 25?

Written utilizing the percentage formula: Y = 10% * 25 First convert percent to a decimal 10/100 = 0.1 Y = 0.1 * 25 = 2.5 So 10% of 25 is 2.5