115.7 is what percent of 524.2 - 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 524.2 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 524.2, so we can write it down as 100%=524.2.
4. We know, that x% equals 115.7 of the output value, so we can write it down as x%=115.7.
5. Now we have two simple equations:
1) 100%=524.2
2) x%=115.7
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%=524.2/115.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 115.7 is what percent of 524.2

100%/x%=524.2/115.7
(100/x)*x=(524.2/115.7)*x       - we multiply both sides of the equation by x
100=4.5306828003457*x       - we divide both sides of the equation by (4.5306828003457) to get x
100/4.5306828003457=x
22.071728347959=x
x=22.071728347959

now we have:
115.7 is 22.071728347959% of 524.2