84.8 is what percent of 544.8 - 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 544.8 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 544.8, so we can write it down as 100%=544.8.
4. We know, that x% equals 84.8 of the output value, so we can write it down as x%=84.8.
5. Now we have two simple equations:
1) 100%=544.8
2) x%=84.8
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%=544.8/84.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 84.8 is what percent of 544.8

100%/x%=544.8/84.8
(100/x)*x=(544.8/84.8)*x       - we multiply both sides of the equation by x
100=6.4245283018868*x       - we divide both sides of the equation by (6.4245283018868) to get x
100/6.4245283018868=x
15.565345080764=x
x=15.565345080764

now we have:
84.8 is 15.565345080764% of 544.8