82.99 is what percent of 115.6 - 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 115.6 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 115.6, so we can write it down as 100%=115.6.
4. We know, that x% equals 82.99 of the output value, so we can write it down as x%=82.99.
5. Now we have two simple equations:
1) 100%=115.6
2) x%=82.99
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%=115.6/82.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 82.99 is what percent of 115.6

100%/x%=115.6/82.99
(100/x)*x=(115.6/82.99)*x       - we multiply both sides of the equation by x
100=1.3929389083022*x       - we divide both sides of the equation by (1.3929389083022) to get x
100/1.3929389083022=x
71.790657439446=x
x=71.790657439446

now we have:
82.99 is 71.790657439446% of 115.6