120.14 is what percent of 149.558 - 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 149.558 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 149.558, so we can write it down as 100%=149.558.
4. We know, that x% equals 120.14 of the output value, so we can write it down as x%=120.14.
5. Now we have two simple equations:
1) 100%=149.558
2) x%=120.14
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%=149.558/120.14
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 120.14 is what percent of 149.558

100%/x%=149.558/120.14
(100/x)*x=(149.558/120.14)*x       - we multiply both sides of the equation by x
100=1.2448643249542*x       - we divide both sides of the equation by (1.2448643249542) to get x
100/1.2448643249542=x
80.330039182123=x
x=80.330039182123

now we have:
120.14 is 80.330039182123% of 149.558