37 is what percent of 165.5 - 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 165.5 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 165.5, so we can write it down as 100%=165.5.
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%=165.5
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%=165.5/37
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 165.5

100%/x%=165.5/37
(100/x)*x=(165.5/37)*x       - we multiply both sides of the equation by x
100=4.472972972973*x       - we divide both sides of the equation by (4.472972972973) to get x
100/4.472972972973=x
22.356495468278=x
x=22.356495468278

now we have:
37 is 22.356495468278% of 165.5