98.45 is what percent of 112.6 - 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 112.6 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 112.6, so we can write it down as 100%=112.6.
4. We know, that x% equals 98.45 of the output value, so we can write it down as x%=98.45.
5. Now we have two simple equations:
1) 100%=112.6
2) x%=98.45
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%=112.6/98.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 98.45 is what percent of 112.6

100%/x%=112.6/98.45
(100/x)*x=(112.6/98.45)*x       - we multiply both sides of the equation by x
100=1.1437277805993*x       - we divide both sides of the equation by (1.1437277805993) to get x
100/1.1437277805993=x
87.433392539964=x
x=87.433392539964

now we have:
98.45 is 87.433392539964% of 112.6