10.6 is what percent of 82.65 - 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 82.65 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 82.65, so we can write it down as 100%=82.65.
4. We know, that x% equals 10.6 of the output value, so we can write it down as x%=10.6.
5. Now we have two simple equations:
1) 100%=82.65
2) x%=10.6
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%=82.65/10.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.6 is what percent of 82.65

100%/x%=82.65/10.6
(100/x)*x=(82.65/10.6)*x       - we multiply both sides of the equation by x
100=7.7971698113208*x       - we divide both sides of the equation by (7.7971698113208) to get x
100/7.7971698113208=x
12.825166364186=x
x=12.825166364186

now we have:
10.6 is 12.825166364186% of 82.65