47.5 is what percent of 37.5 - 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 37.5 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 37.5, so we can write it down as 100%=37.5.
4. We know, that x% equals 47.5 of the output value, so we can write it down as x%=47.5.
5. Now we have two simple equations:
1) 100%=37.5
2) x%=47.5
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%=37.5/47.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 47.5 is what percent of 37.5

100%/x%=37.5/47.5
(100/x)*x=(37.5/47.5)*x       - we multiply both sides of the equation by x
100=0.78947368421053*x       - we divide both sides of the equation by (0.78947368421053) to get x
100/0.78947368421053=x
126.66666666667=x
x=126.66666666667

now we have:
47.5 is 126.66666666667% of 37.5