8.26 is what percent of 362 - 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 362 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 362, so we can write it down as 100%=362.
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%=362
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%=362/8.26
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 362

100%/x%=362/8.26
(100/x)*x=(362/8.26)*x       - we multiply both sides of the equation by x
100=43.825665859564*x       - we divide both sides of the equation by (43.825665859564) to get x
100/43.825665859564=x
2.2817679558011=x
x=2.2817679558011

now we have:
8.26 is 2.2817679558011% of 362