140.1 is what percent of 117.9 - 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 117.9 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 117.9, so we can write it down as 100%=117.9.
4. We know, that x% equals 140.1 of the output value, so we can write it down as x%=140.1.
5. Now we have two simple equations:
1) 100%=117.9
2) x%=140.1
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%=117.9/140.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 140.1 is what percent of 117.9

100%/x%=117.9/140.1
(100/x)*x=(117.9/140.1)*x       - we multiply both sides of the equation by x
100=0.84154175588865*x       - we divide both sides of the equation by (0.84154175588865) to get x
100/0.84154175588865=x
118.82951653944=x
x=118.82951653944

now we have:
140.1 is 118.82951653944% of 117.9