Find a percentage or work out the percentage given numbers and percent values. Use percent formulas to figure out percentages and unknowns in equations. Add or subtract a percentage from a number or solve the equations. Show
How to Calculate PercentagesThere are many formulas for percentage problems. You can think of the most basic as X/Y = P x 100. The formulas below are all mathematical variations of this formula. Let's explore the three basic percentage problems. X and Y are numbers and P is the percentage:
Read on to learn more about how to figure percentages. 1. How to calculate percentage of a number. Use the percentage formula: P% * X = YExample: What is 10% of 150?
2. How to find what percent of X is Y. Use the percentage formula: Y/X = P%Example: What percent of 60 is 12?
3. How to find X if P percent of it is Y. Use the percentage formula Y/P% = XExample: 25 is 20% of what number?
Remember: How to convert a percentage to a decimal
Remember: How to convert a decimal to a percentage
Percentage ProblemsThere are nine variations on the three basic problems involving percentages. See if you can match your problem to one of the samples below. The problem formats match the input fields in the calculator above. Formulas and examples are included.
Related CalculatorsFind the change in percentage as an increase or decrease using the Percentage Change Calculator. Solve decimal to percentage conversions with our Decimal to Percent Calculator. Convert from percentage to decimals with the Percent to Decimal Calculator. If you need to convert between fractions and percents see our Fraction to Percent Calculator, or our Percent to Fraction Calculator. ReferencesWeisstein, Eric W. "Percent." From MathWorld -- A Wolfram Web Resource.
20 out of 30 as a percentage provides the quick answer for what percent is 20 of 30, along with more insight of how to find the percentage and what are all the different variations of real world problems. 20/30 as a percentage: 20/30 x 100 = 66.67%20 is 66.67 percent of 30 where, 20 is the relative quantity, 30 is the reference or base quantity, 66.67% is the calculated percentage.Important Notes: All the following questions represent 20 of 30 as a percentage, so it's very much important to observe the different variations of this question.
The below step by step work shows how to find what is 20/30 as a percentage. The relative and base quantity in the 20 of 30 percentage calculation should be of something (mark, speed, mass, rate, etc.) in same kind or units. Question What percent is 20 out of 30? step 1 Address the input parameters and observe what to be found: what to be found: Find 20/30 as a percentage.step 2 Write the percentage equation and apply the corresponding values: Percentage = Relative Quantity/Base Quantity x 100 = 20/30 x 100 step 3 Simplify 20/30 in the above equation: = 20/30 x 100 = 2 x 10/3 x 10 x 100 = 2/3 x 100 step 4 Write 2/3 as a decimal in the above equation and solve further: 20/30 x 100 = 66.67% Hence,20 is 66.67% of 30 |