98.83 is what percent of 115.93 - 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 115.93 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 115.93, so we can write it down as 100%=115.93.
4. We know, that x% equals 98.83 of the output value, so we can write it down as x%=98.83.
5. Now we have two simple equations:
1) 100%=115.93
2) x%=98.83
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%=115.93/98.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 98.83 is what percent of 115.93

100%/x%=115.93/98.83
(100/x)*x=(115.93/98.83)*x       - we multiply both sides of the equation by x
100=1.1730243853081*x       - we divide both sides of the equation by (1.1730243853081) to get x
100/1.1730243853081=x
85.249719658415=x
x=85.249719658415

now we have:
98.83 is 85.249719658415% of 115.93