88.6 is what percent of 110.4 - 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 110.4 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 110.4, so we can write it down as 100%=110.4.
4. We know, that x% equals 88.6 of the output value, so we can write it down as x%=88.6.
5. Now we have two simple equations:
1) 100%=110.4
2) x%=88.6
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%=110.4/88.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 88.6 is what percent of 110.4

100%/x%=110.4/88.6
(100/x)*x=(110.4/88.6)*x       - we multiply both sides of the equation by x
100=1.2460496613995*x       - we divide both sides of the equation by (1.2460496613995) to get x
100/1.2460496613995=x
80.253623188406=x
x=80.253623188406

now we have:
88.6 is 80.253623188406% of 110.4