37 is what percent of 96.4 - 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 96.4 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 96.4, so we can write it down as 100%=96.4.
4. We know, that x% equals 37 of the output value, so we can write it down as x%=37.
5. Now we have two simple equations:
1) 100%=96.4
2) x%=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%=96.4/37
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37 is what percent of 96.4

100%/x%=96.4/37
(100/x)*x=(96.4/37)*x       - we multiply both sides of the equation by x
100=2.6054054054054*x       - we divide both sides of the equation by (2.6054054054054) to get x
100/2.6054054054054=x
38.381742738589=x
x=38.381742738589

now we have:
37 is 38.381742738589% of 96.4