7.26 is what percent of 83 - 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 83 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 83, so we can write it down as 100%=83.
4. We know, that x% equals 7.26 of the output value, so we can write it down as x%=7.26.
5. Now we have two simple equations:
1) 100%=83
2) x%=7.26
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%=83/7.26
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.26 is what percent of 83

100%/x%=83/7.26
(100/x)*x=(83/7.26)*x       - we multiply both sides of the equation by x
100=11.432506887052*x       - we divide both sides of the equation by (11.432506887052) to get x
100/11.432506887052=x
8.7469879518072=x
x=8.7469879518072

now we have:
7.26 is 8.7469879518072% of 83