82.54 is what percent of 75.5 - 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 75.5 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 75.5, so we can write it down as 100%=75.5.
4. We know, that x% equals 82.54 of the output value, so we can write it down as x%=82.54.
5. Now we have two simple equations:
1) 100%=75.5
2) x%=82.54
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%=75.5/82.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 82.54 is what percent of 75.5

100%/x%=75.5/82.54
(100/x)*x=(75.5/82.54)*x       - we multiply both sides of the equation by x
100=0.91470802035377*x       - we divide both sides of the equation by (0.91470802035377) to get x
100/0.91470802035377=x
109.32450331126=x
x=109.32450331126

now we have:
82.54 is 109.32450331126% of 75.5