637.37 is what percent of 807.5 - 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 807.5 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 807.5, so we can write it down as 100%=807.5.
4. We know, that x% equals 637.37 of the output value, so we can write it down as x%=637.37.
5. Now we have two simple equations:
1) 100%=807.5
2) x%=637.37
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%=807.5/637.37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 637.37 is what percent of 807.5

100%/x%=807.5/637.37
(100/x)*x=(807.5/637.37)*x       - we multiply both sides of the equation by x
100=1.2669250200041*x       - we divide both sides of the equation by (1.2669250200041) to get x
100/1.2669250200041=x
78.931269349845=x
x=78.931269349845

now we have:
637.37 is 78.931269349845% of 807.5