367.58 is what percent of 500.52 - 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 500.52 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 500.52, so we can write it down as 100%=500.52.
4. We know, that x% equals 367.58 of the output value, so we can write it down as x%=367.58.
5. Now we have two simple equations:
1) 100%=500.52
2) x%=367.58
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%=500.52/367.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 367.58 is what percent of 500.52

100%/x%=500.52/367.58
(100/x)*x=(500.52/367.58)*x       - we multiply both sides of the equation by x
100=1.3616627672888*x       - we divide both sides of the equation by (1.3616627672888) to get x
100/1.3616627672888=x
73.439622792296=x
x=73.439622792296

now we have:
367.58 is 73.439622792296% of 500.52