37.57 is what percent of 644.72 - 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 644.72 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 644.72, so we can write it down as 100%=644.72.
4. We know, that x% equals 37.57 of the output value, so we can write it down as x%=37.57.
5. Now we have two simple equations:
1) 100%=644.72
2) x%=37.57
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%=644.72/37.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.57 is what percent of 644.72

100%/x%=644.72/37.57
(100/x)*x=(644.72/37.57)*x       - we multiply both sides of the equation by x
100=17.160500399255*x       - we divide both sides of the equation by (17.160500399255) to get x
100/17.160500399255=x
5.8273358977541=x
x=5.8273358977541

now we have:
37.57 is 5.8273358977541% of 644.72