107.77 is what percent of 588 - 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 588 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 588, so we can write it down as 100%=588.
4. We know, that x% equals 107.77 of the output value, so we can write it down as x%=107.77.
5. Now we have two simple equations:
1) 100%=588
2) x%=107.77
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%=588/107.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 107.77 is what percent of 588

100%/x%=588/107.77
(100/x)*x=(588/107.77)*x       - we multiply both sides of the equation by x
100=5.4560638396585*x       - we divide both sides of the equation by (5.4560638396585) to get x
100/5.4560638396585=x
18.328231292517=x
x=18.328231292517

now we have:
107.77 is 18.328231292517% of 588