Answer: 40 percent of 120 is 48

Assume the unknown value is 'Y'

Y = 40 x 120%

Y = 40 x 120 100

Y = 48

Answer: 40 percent of 120 is 48

Here is an easy method to solve percentage calculations such as what is 40% of 120. 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.

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'.

To solve the problem above, let's convert it into equation form: **__ = 40% 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 evaluate the 40 percent of 120. For now, let's call this unknown value 'Y'. Written as a ratio, we would get: **40% : Y**

To see a relationship between these two ratios, let's combine them into an equation: **100% : 120 = 40% : Y**

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 Y : 40%' is correct.

'120 : 100% and 40% : Y' is wrong.

Let's solve the equation for Y by first rewriting it as: **100% / 120 = 40% / Y**

Drop the percentage marks to simplify your calculations: **100 / 120 = 40 / Y**

Multiply both sides by Y to transfer it on the left side of the equation: **Y ( 100 / 120 ) = 40**

To isolate Y, multiply both sides by 120 / 100, we will have: **Y = 40 ( 120 / 100 )**

Computing the right side, we get: **Y = 48**

This leaves us with our final answer: **40% of 120 is 48**