8.12 is what percent of 829 - 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 829 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 829, so we can write it down as 100%=829.
4. We know, that x% equals 8.12 of the output value, so we can write it down as x%=8.12.
5. Now we have two simple equations:
1) 100%=829
2) x%=8.12
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%=829/8.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.12 is what percent of 829

100%/x%=829/8.12
(100/x)*x=(829/8.12)*x       - we multiply both sides of the equation by x
100=102.09359605911*x       - we divide both sides of the equation by (102.09359605911) to get x
100/102.09359605911=x
0.9794933655006=x
x=0.9794933655006

now we have:
8.12 is 0.9794933655006% of 829