93 is what percent of 829.25 - 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 829.25 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 829.25, so we can write it down as 100%=829.25.
4. We know, that x% equals 93 of the output value, so we can write it down as x%=93.
5. Now we have two simple equations:
1) 100%=829.25
2) x%=93
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%=829.25/93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 93 is what percent of 829.25

100%/x%=829.25/93
(100/x)*x=(829.25/93)*x       - we multiply both sides of the equation by x
100=8.9166666666667*x       - we divide both sides of the equation by (8.9166666666667) to get x
100/8.9166666666667=x
11.214953271028=x
x=11.214953271028

now we have:
93 is 11.214953271028% of 829.25