37.13 is what percent of 38.06 - 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 38.06 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 38.06, so we can write it down as 100%=38.06.
4. We know, that x% equals 37.13 of the output value, so we can write it down as x%=37.13.
5. Now we have two simple equations:
1) 100%=38.06
2) x%=37.13
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%=38.06/37.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 37.13 is what percent of 38.06

100%/x%=38.06/37.13
(100/x)*x=(38.06/37.13)*x       - we multiply both sides of the equation by x
100=1.0250471316994*x       - we divide both sides of the equation by (1.0250471316994) to get x
100/1.0250471316994=x
97.556489753022=x
x=97.556489753022

now we have:
37.13 is 97.556489753022% of 38.06