37.71 is what percent of 943.37 - 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 943.37 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 943.37, so we can write it down as 100%=943.37.
4. We know, that x% equals 37.71 of the output value, so we can write it down as x%=37.71.
5. Now we have two simple equations:
1) 100%=943.37
2) x%=37.71
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%=943.37/37.71
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.71 is what percent of 943.37

100%/x%=943.37/37.71
(100/x)*x=(943.37/37.71)*x       - we multiply both sides of the equation by x
100=25.016441262265*x       - we divide both sides of the equation by (25.016441262265) to get x
100/25.016441262265=x
3.9973711269173=x
x=3.9973711269173

now we have:
37.71 is 3.9973711269173% of 943.37