37307.69 is what percent of 42637.5 - 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 42637.5 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 42637.5, so we can write it down as 100%=42637.5.
4. We know, that x% equals 37307.69 of the output value, so we can write it down as x%=37307.69.
5. Now we have two simple equations:
1) 100%=42637.5
2) x%=37307.69
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%=42637.5/37307.69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37307.69 is what percent of 42637.5

100%/x%=42637.5/37307.69
(100/x)*x=(42637.5/37307.69)*x       - we multiply both sides of the equation by x
100=1.1428608954347*x       - we divide both sides of the equation by (1.1428608954347) to get x
100/1.1428608954347=x
87.499712694225=x
x=87.499712694225

now we have:
37307.69 is 87.499712694225% of 42637.5