118.74 is what percent of 148.42 - 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 148.42 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 148.42, so we can write it down as 100%=148.42.
4. We know, that x% equals 118.74 of the output value, so we can write it down as x%=118.74.
5. Now we have two simple equations:
1) 100%=148.42
2) x%=118.74
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%=148.42/118.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 118.74 is what percent of 148.42

100%/x%=148.42/118.74
(100/x)*x=(148.42/118.74)*x       - we multiply both sides of the equation by x
100=1.2499578911908*x       - we divide both sides of the equation by (1.2499578911908) to get x
100/1.2499578911908=x
80.002695054575=x
x=80.002695054575

now we have:
118.74 is 80.002695054575% of 148.42