84.58 is what percent of 1028.94 - 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 1028.94 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 1028.94, so we can write it down as 100%=1028.94.
4. We know, that x% equals 84.58 of the output value, so we can write it down as x%=84.58.
5. Now we have two simple equations:
1) 100%=1028.94
2) x%=84.58
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%=1028.94/84.58
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 84.58 is what percent of 1028.94

100%/x%=1028.94/84.58
(100/x)*x=(1028.94/84.58)*x       - we multiply both sides of the equation by x
100=12.165287301963*x       - we divide both sides of the equation by (12.165287301963) to get x
100/12.165287301963=x
8.2201100161331=x
x=8.2201100161331

now we have:
84.58 is 8.2201100161331% of 1028.94