84.11 is what percent of 109.47 - 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 109.47 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 109.47, so we can write it down as 100%=109.47.
4. We know, that x% equals 84.11 of the output value, so we can write it down as x%=84.11.
5. Now we have two simple equations:
1) 100%=109.47
2) x%=84.11
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%=109.47/84.11
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 84.11 is what percent of 109.47

100%/x%=109.47/84.11
(100/x)*x=(109.47/84.11)*x       - we multiply both sides of the equation by x
100=1.3015099274759*x       - we divide both sides of the equation by (1.3015099274759) to get x
100/1.3015099274759=x
76.833835754088=x
x=76.833835754088

now we have:
84.11 is 76.833835754088% of 109.47