8.2 is what percent of 67 - 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 67 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 67, so we can write it down as 100%=67.
4. We know, that x% equals 8.2 of the output value, so we can write it down as x%=8.2.
5. Now we have two simple equations:
1) 100%=67
2) x%=8.2
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%=67/8.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.2 is what percent of 67

100%/x%=67/8.2
(100/x)*x=(67/8.2)*x       - we multiply both sides of the equation by x
100=8.1707317073171*x       - we divide both sides of the equation by (8.1707317073171) to get x
100/8.1707317073171=x
12.238805970149=x
x=12.238805970149

now we have:
8.2 is 12.238805970149% of 67