40.52 is what percent of 375.16 - 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 375.16 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 375.16, so we can write it down as 100%=375.16.
4. We know, that x% equals 40.52 of the output value, so we can write it down as x%=40.52.
5. Now we have two simple equations:
1) 100%=375.16
2) x%=40.52
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%=375.16/40.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.52 is what percent of 375.16

100%/x%=375.16/40.52
(100/x)*x=(375.16/40.52)*x       - we multiply both sides of the equation by x
100=9.258637709773*x       - we divide both sides of the equation by (9.258637709773) to get x
100/9.258637709773=x
10.80072502399=x
x=10.80072502399

now we have:
40.52 is 10.80072502399% of 375.16