0.82 is what percent of 7 - 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 7 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 7, so we can write it down as 100%=7.
4. We know, that x% equals 0.82 of the output value, so we can write it down as x%=0.82.
5. Now we have two simple equations:
1) 100%=7
2) x%=0.82
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%=7/0.82
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.82 is what percent of 7

100%/x%=7/0.82
(100/x)*x=(7/0.82)*x       - we multiply both sides of the equation by x
100=8.5365853658537*x       - we divide both sides of the equation by (8.5365853658537) to get x
100/8.5365853658537=x
11.714285714286=x
x=11.714285714286

now we have:
0.82 is 11.714285714286% of 7