108.06 is what percent of 175.84 - 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 175.84 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 175.84, so we can write it down as 100%=175.84.
4. We know, that x% equals 108.06 of the output value, so we can write it down as x%=108.06.
5. Now we have two simple equations:
1) 100%=175.84
2) x%=108.06
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%=175.84/108.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 108.06 is what percent of 175.84

100%/x%=175.84/108.06
(100/x)*x=(175.84/108.06)*x       - we multiply both sides of the equation by x
100=1.627244123635*x       - we divide both sides of the equation by (1.627244123635) to get x
100/1.627244123635=x
61.453594176524=x
x=61.453594176524

now we have:
108.06 is 61.453594176524% of 175.84