7.02 is what percent of 140.41 - 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 140.41 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 140.41, so we can write it down as 100%=140.41.
4. We know, that x% equals 7.02 of the output value, so we can write it down as x%=7.02.
5. Now we have two simple equations:
1) 100%=140.41
2) x%=7.02
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%=140.41/7.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.02 is what percent of 140.41

100%/x%=140.41/7.02
(100/x)*x=(140.41/7.02)*x       - we multiply both sides of the equation by x
100=20.001424501425*x       - we divide both sides of the equation by (20.001424501425) to get x
100/20.001424501425=x
4.9996439000071=x
x=4.9996439000071

now we have:
7.02 is 4.9996439000071% of 140.41