84.6 is what percent of 110.6 - 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 110.6 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 110.6, so we can write it down as 100%=110.6.
4. We know, that x% equals 84.6 of the output value, so we can write it down as x%=84.6.
5. Now we have two simple equations:
1) 100%=110.6
2) x%=84.6
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%=110.6/84.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 84.6 is what percent of 110.6

100%/x%=110.6/84.6
(100/x)*x=(110.6/84.6)*x       - we multiply both sides of the equation by x
100=1.3073286052009*x       - we divide both sides of the equation by (1.3073286052009) to get x
100/1.3073286052009=x
76.491862567812=x
x=76.491862567812

now we have:
84.6 is 76.491862567812% of 110.6