48.25 is what percent of 796.5 - 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 796.5 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 796.5, so we can write it down as 100%=796.5.
4. We know, that x% equals 48.25 of the output value, so we can write it down as x%=48.25.
5. Now we have two simple equations:
1) 100%=796.5
2) x%=48.25
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%=796.5/48.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48.25 is what percent of 796.5

100%/x%=796.5/48.25
(100/x)*x=(796.5/48.25)*x       - we multiply both sides of the equation by x
100=16.507772020725*x       - we divide both sides of the equation by (16.507772020725) to get x
100/16.507772020725=x
6.0577526679222=x
x=6.0577526679222

now we have:
48.25 is 6.0577526679222% of 796.5