137.48 is what percent of 133.73 - 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 133.73 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 133.73, so we can write it down as 100%=133.73.
4. We know, that x% equals 137.48 of the output value, so we can write it down as x%=137.48.
5. Now we have two simple equations:
1) 100%=133.73
2) x%=137.48
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%=133.73/137.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 137.48 is what percent of 133.73

100%/x%=133.73/137.48
(100/x)*x=(133.73/137.48)*x       - we multiply both sides of the equation by x
100=0.97272330520803*x       - we divide both sides of the equation by (0.97272330520803) to get x
100/0.97272330520803=x
102.80415763105=x
x=102.80415763105

now we have:
137.48 is 102.80415763105% of 133.73