7.01 is what percent of 140.13 - 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 140.13 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 140.13, so we can write it down as 100%=140.13.
4. We know, that x% equals 7.01 of the output value, so we can write it down as x%=7.01.
5. Now we have two simple equations:
1) 100%=140.13
2) x%=7.01
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%=140.13/7.01
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.01 is what percent of 140.13

100%/x%=140.13/7.01
(100/x)*x=(140.13/7.01)*x       - we multiply both sides of the equation by x
100=19.990014265335*x       - we divide both sides of the equation by (19.990014265335) to get x
100/19.990014265335=x
5.002497680725=x
x=5.002497680725

now we have:
7.01 is 5.002497680725% of 140.13