84.8 is what percent of 682.8 - 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 682.8 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 682.8, so we can write it down as 100%=682.8.
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%=682.8
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%=682.8/84.8
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 682.8

100%/x%=682.8/84.8
(100/x)*x=(682.8/84.8)*x       - we multiply both sides of the equation by x
100=8.0518867924528*x       - we divide both sides of the equation by (8.0518867924528) to get x
100/8.0518867924528=x
12.419449326303=x
x=12.419449326303

now we have:
84.8 is 12.419449326303% of 682.8