17.35 is what percent of 139.5 - 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 139.5 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 139.5, so we can write it down as 100%=139.5.
4. We know, that x% equals 17.35 of the output value, so we can write it down as x%=17.35.
5. Now we have two simple equations:
1) 100%=139.5
2) x%=17.35
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%=139.5/17.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.35 is what percent of 139.5

100%/x%=139.5/17.35
(100/x)*x=(139.5/17.35)*x       - we multiply both sides of the equation by x
100=8.0403458213256*x       - we divide both sides of the equation by (8.0403458213256) to get x
100/8.0403458213256=x
12.437275985663=x
x=12.437275985663

now we have:
17.35 is 12.437275985663% of 139.5