84.45 is what percent of 1064.59 - 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 1064.59 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 1064.59, so we can write it down as 100%=1064.59.
4. We know, that x% equals 84.45 of the output value, so we can write it down as x%=84.45.
5. Now we have two simple equations:
1) 100%=1064.59
2) x%=84.45
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%=1064.59/84.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 84.45 is what percent of 1064.59

100%/x%=1064.59/84.45
(100/x)*x=(1064.59/84.45)*x       - we multiply both sides of the equation by x
100=12.606157489639*x       - we divide both sides of the equation by (12.606157489639) to get x
100/12.606157489639=x
7.9326313416433=x
x=7.9326313416433

now we have:
84.45 is 7.9326313416433% of 1064.59