24 is what percent of 120

24 is what percent of 120? This calculator provides an easy method to solve percentage calculations.

You can solve this type of calculation with your own values by entering them into the calculator's fields, and click 'Calculate' to get the result and explanation.

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This is a simple method for solving percentage equations. Use this calculator for business, classroom assignments, when shopping, and in general daily life where percentage calculations are needed.

Want to learn the fastest method for calculating 24 is what percent of 120?

Assume the unknown value is 'Y'

100% / 120 = Y% / 24

100 / 120 = Y / 24

24 ( 100 / 120 ) = Y

20 = Y

Answer: 24 is 20 percent of 120

Have time and want to learn the details?

What are percentages

Percentages are similar to fractions with an important difference. In fractions the whole is represented by the denominator (e.g. the number 5 in the fraction of 1/5). In percentages, the whole is represented by the number 100. In fact, 'per cent' means 'per 100' or 'for each 100'.

How to solve

To solve the problem above, let's convert it into equation form: 24 = __% x 120

In this example, the number 120 represents the whole and so, as a percentage, it would be equal to 100%. Written as a ratio, we would get: 100% : 120

If a student took a 120 question test and they got every answer correct, as a percentage they would get a 100% score on the test.

In our problem we have to discover what percentage 24 is out of a whole of 120. For now, let's call this unknown percentage value 'Y'. Written as a ratio, we would get: Y% : 24

To see a relationship between these two ratios, let's combine them into an equation: 100% : 120 = Y% : 24

It is critical that both of the % values should be on the same side of a ratio. For instance, if you decide to put the % value on the right side of a ratio, then the other % value should also be on the right side of its ratio.

'120 : 100% and 24 : Y%' is correct.
'120 : 100% and Y% : 24' is wrong.

Let's solve the equation for Y by first rewriting it as: 100% / 120 = Y% / 24

Drop the percentage marks to simplify your calculations: 100 / 120 = Y / 24

Multiply both sides by 24 to isolate Y on the right side of the equation: 24 ( 100 / 120 ) = Y

Computing the left side, we get: 20 = Y

This leaves us with our final answer: 24 is 20 percent of 120