84.94 is what percent of 714.94 - 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 714.94 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 714.94, so we can write it down as 100%=714.94.
4. We know, that x% equals 84.94 of the output value, so we can write it down as x%=84.94.
5. Now we have two simple equations:
1) 100%=714.94
2) x%=84.94
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%=714.94/84.94
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 84.94 is what percent of 714.94

100%/x%=714.94/84.94
(100/x)*x=(714.94/84.94)*x       - we multiply both sides of the equation by x
100=8.4170002354603*x       - we divide both sides of the equation by (8.4170002354603) to get x
100/8.4170002354603=x
11.880717262987=x
x=11.880717262987

now we have:
84.94 is 11.880717262987% of 714.94