84.39 is what percent of 445.57 - 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 445.57 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 445.57, so we can write it down as 100%=445.57.
4. We know, that x% equals 84.39 of the output value, so we can write it down as x%=84.39.
5. Now we have two simple equations:
1) 100%=445.57
2) x%=84.39
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%=445.57/84.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 84.39 is what percent of 445.57

100%/x%=445.57/84.39
(100/x)*x=(445.57/84.39)*x       - we multiply both sides of the equation by x
100=5.2798909823439*x       - we divide both sides of the equation by (5.2798909823439) to get x
100/5.2798909823439=x
18.939784994501=x
x=18.939784994501

now we have:
84.39 is 18.939784994501% of 445.57