106.6 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 106.6 of the output value, so we can write it down as x%=106.6.
5. Now we have two simple equations:
1) 100%=682.8
2) x%=106.6
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%=682.8/106.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 106.6 is what percent of 682.8

100%/x%=682.8/106.6
(100/x)*x=(682.8/106.6)*x       - we multiply both sides of the equation by x
100=6.4052532833021*x       - we divide both sides of the equation by (6.4052532833021) to get x
100/6.4052532833021=x
15.612185120094=x
x=15.612185120094

now we have:
106.6 is 15.612185120094% of 682.8