39.38 is what percent of 71.56 - 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 71.56 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 71.56, so we can write it down as 100%=71.56.
4. We know, that x% equals 39.38 of the output value, so we can write it down as x%=39.38.
5. Now we have two simple equations:
1) 100%=71.56
2) x%=39.38
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%=71.56/39.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.38 is what percent of 71.56

100%/x%=71.56/39.38
(100/x)*x=(71.56/39.38)*x       - we multiply both sides of the equation by x
100=1.8171660741493*x       - we divide both sides of the equation by (1.8171660741493) to get x
100/1.8171660741493=x
55.030743432085=x
x=55.030743432085

now we have:
39.38 is 55.030743432085% of 71.56