8.26 is what percent of 122.16 - 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 122.16 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 122.16, so we can write it down as 100%=122.16.
4. We know, that x% equals 8.26 of the output value, so we can write it down as x%=8.26.
5. Now we have two simple equations:
1) 100%=122.16
2) x%=8.26
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%=122.16/8.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.26 is what percent of 122.16

100%/x%=122.16/8.26
(100/x)*x=(122.16/8.26)*x       - we multiply both sides of the equation by x
100=14.789346246973*x       - we divide both sides of the equation by (14.789346246973) to get x
100/14.789346246973=x
6.7616240995416=x
x=6.7616240995416

now we have:
8.26 is 6.7616240995416% of 122.16