What percent of 56.25 is 49.5

1. We assume, that the number 56.25 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 100% equals 56.25, so we can write it down as 100%=56.25.

4. We know, that x% equals 49.5 of the output value, so we can write it down as x%=49.5.

5. Now we have two simple equations:

1) 100%=56.25

2) x%=49.5

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

100%/x%=56.25/49.5

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 49.5 is what percent of 56.25

100%/x%=56.25/49.5

(100/x) * x = (56.25/49.5) * x - we multiply both sides of the equation by x

100=1.13636363636*x - we divide both sides of the equation by (1.13636363636) to get x

100/1.13636363636=x

88=x

x=88

now we have:

49.5 is 88% of 56.25