72.89 is what percent of 141.75 - 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 141.75 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 141.75, so we can write it down as 100%=141.75.
4. We know, that x% equals 72.89 of the output value, so we can write it down as x%=72.89.
5. Now we have two simple equations:
1) 100%=141.75
2) x%=72.89
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%=141.75/72.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 72.89 is what percent of 141.75

100%/x%=141.75/72.89
(100/x)*x=(141.75/72.89)*x       - we multiply both sides of the equation by x
100=1.9447112086706*x       - we divide both sides of the equation by (1.9447112086706) to get x
100/1.9447112086706=x
51.42151675485=x
x=51.42151675485

now we have:
72.89 is 51.42151675485% of 141.75