112.15 is what percent of 982 - 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 982 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 982, so we can write it down as 100%=982.
4. We know, that x% equals 112.15 of the output value, so we can write it down as x%=112.15.
5. Now we have two simple equations:
1) 100%=982
2) x%=112.15
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%=982/112.15
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 112.15 is what percent of 982

100%/x%=982/112.15
(100/x)*x=(982/112.15)*x       - we multiply both sides of the equation by x
100=8.7561301827909*x       - we divide both sides of the equation by (8.7561301827909) to get x
100/8.7561301827909=x
11.420570264766=x
x=11.420570264766

now we have:
112.15 is 11.420570264766% of 982