84.8 is what percent of 502.23 - 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 502.23 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 502.23, so we can write it down as 100%=502.23.
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%=502.23
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%=502.23/84.8
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 502.23

100%/x%=502.23/84.8
(100/x)*x=(502.23/84.8)*x       - we multiply both sides of the equation by x
100=5.9225235849057*x       - we divide both sides of the equation by (5.9225235849057) to get x
100/5.9225235849057=x
16.884694263584=x
x=16.884694263584

now we have:
84.8 is 16.884694263584% of 502.23