40.39 is what percent of 528 - 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 528 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 528, so we can write it down as 100%=528.
4. We know, that x% equals 40.39 of the output value, so we can write it down as x%=40.39.
5. Now we have two simple equations:
1) 100%=528
2) x%=40.39
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%=528/40.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.39 is what percent of 528

100%/x%=528/40.39
(100/x)*x=(528/40.39)*x       - we multiply both sides of the equation by x
100=13.072542708591*x       - we divide both sides of the equation by (13.072542708591) to get x
100/13.072542708591=x
7.6496212121212=x
x=7.6496212121212

now we have:
40.39 is 7.6496212121212% of 528