97.87 is what percent of 166.83 - 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 166.83 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 166.83, so we can write it down as 100%=166.83.
4. We know, that x% equals 97.87 of the output value, so we can write it down as x%=97.87.
5. Now we have two simple equations:
1) 100%=166.83
2) x%=97.87
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%=166.83/97.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 97.87 is what percent of 166.83

100%/x%=166.83/97.87
(100/x)*x=(166.83/97.87)*x       - we multiply both sides of the equation by x
100=1.7046081536732*x       - we divide both sides of the equation by (1.7046081536732) to get x
100/1.7046081536732=x
58.664508781394=x
x=58.664508781394

now we have:
97.87 is 58.664508781394% of 166.83