37.3 is what percent of 171.3 - 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 171.3 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 171.3, so we can write it down as 100%=171.3.
4. We know, that x% equals 37.3 of the output value, so we can write it down as x%=37.3.
5. Now we have two simple equations:
1) 100%=171.3
2) x%=37.3
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%=171.3/37.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.3 is what percent of 171.3

100%/x%=171.3/37.3
(100/x)*x=(171.3/37.3)*x       - we multiply both sides of the equation by x
100=4.5924932975871*x       - we divide both sides of the equation by (4.5924932975871) to get x
100/4.5924932975871=x
21.774664331582=x
x=21.774664331582

now we have:
37.3 is 21.774664331582% of 171.3