138.5 is what percent of 1720 - 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 1720 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 1720, so we can write it down as 100%=1720.
4. We know, that x% equals 138.5 of the output value, so we can write it down as x%=138.5.
5. Now we have two simple equations:
1) 100%=1720
2) x%=138.5
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%=1720/138.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 138.5 is what percent of 1720

100%/x%=1720/138.5
(100/x)*x=(1720/138.5)*x       - we multiply both sides of the equation by x
100=12.418772563177*x       - we divide both sides of the equation by (12.418772563177) to get x
100/12.418772563177=x
8.0523255813953=x
x=8.0523255813953

now we have:
138.5 is 8.0523255813953% of 1720