119.56 is what percent of 131.33 - 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 131.33 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 131.33, so we can write it down as 100%=131.33.
4. We know, that x% equals 119.56 of the output value, so we can write it down as x%=119.56.
5. Now we have two simple equations:
1) 100%=131.33
2) x%=119.56
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%=131.33/119.56
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 119.56 is what percent of 131.33

100%/x%=131.33/119.56
(100/x)*x=(131.33/119.56)*x       - we multiply both sides of the equation by x
100=1.0984442957511*x       - we divide both sides of the equation by (1.0984442957511) to get x
100/1.0984442957511=x
91.037843600091=x
x=91.037843600091

now we have:
119.56 is 91.037843600091% of 131.33