48.7 is what percent of 75.2 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 75.2 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 75.2, so we can write it down as 100%=75.2.
4. We know, that x% equals 48.7 of the output value, so we can write it down as x%=48.7.
5. Now we have two simple equations:
1) 100%=75.2
2) x%=48.7
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%=75.2/48.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48.7 is what percent of 75.2

100%/x%=75.2/48.7
(100/x)*x=(75.2/48.7)*x       - we multiply both sides of the equation by x
100=1.5441478439425*x       - we divide both sides of the equation by (1.5441478439425) to get x
100/1.5441478439425=x
64.760638297872=x
x=64.760638297872

now we have:
48.7 is 64.760638297872% of 75.2