139.58 is what percent of 2070.92 - 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 2070.92 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 2070.92, so we can write it down as 100%=2070.92.
4. We know, that x% equals 139.58 of the output value, so we can write it down as x%=139.58.
5. Now we have two simple equations:
1) 100%=2070.92
2) x%=139.58
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%=2070.92/139.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 139.58 is what percent of 2070.92

100%/x%=2070.92/139.58
(100/x)*x=(2070.92/139.58)*x       - we multiply both sides of the equation by x
100=14.836796102593*x       - we divide both sides of the equation by (14.836796102593) to get x
100/14.836796102593=x
6.7399996136983=x
x=6.7399996136983

now we have:
139.58 is 6.7399996136983% of 2070.92