84.49 is what percent of 396.75 - 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 396.75 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 396.75, so we can write it down as 100%=396.75.
4. We know, that x% equals 84.49 of the output value, so we can write it down as x%=84.49.
5. Now we have two simple equations:
1) 100%=396.75
2) x%=84.49
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%=396.75/84.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 84.49 is what percent of 396.75

100%/x%=396.75/84.49
(100/x)*x=(396.75/84.49)*x       - we multiply both sides of the equation by x
100=4.6958219907681*x       - we divide both sides of the equation by (4.6958219907681) to get x
100/4.6958219907681=x
21.295526149968=x
x=21.295526149968

now we have:
84.49 is 21.295526149968% of 396.75