139.87 is what percent of 1608.75 - 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 1608.75 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 1608.75, so we can write it down as 100%=1608.75.
4. We know, that x% equals 139.87 of the output value, so we can write it down as x%=139.87.
5. Now we have two simple equations:
1) 100%=1608.75
2) x%=139.87
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%=1608.75/139.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 139.87 is what percent of 1608.75

100%/x%=1608.75/139.87
(100/x)*x=(1608.75/139.87)*x       - we multiply both sides of the equation by x
100=11.50175162651*x       - we divide both sides of the equation by (11.50175162651) to get x
100/11.50175162651=x
8.6943278943279=x
x=8.6943278943279

now we have:
139.87 is 8.6943278943279% of 1608.75