37.2 is what percent of 65.5 - 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 65.5 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 65.5, so we can write it down as 100%=65.5.
4. We know, that x% equals 37.2 of the output value, so we can write it down as x%=37.2.
5. Now we have two simple equations:
1) 100%=65.5
2) x%=37.2
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%=65.5/37.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.2 is what percent of 65.5

100%/x%=65.5/37.2
(100/x)*x=(65.5/37.2)*x       - we multiply both sides of the equation by x
100=1.760752688172*x       - we divide both sides of the equation by (1.760752688172) to get x
100/1.760752688172=x
56.793893129771=x
x=56.793893129771

now we have:
37.2 is 56.793893129771% of 65.5