4.25 is what percent of 797.25 - 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 797.25 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 797.25, so we can write it down as 100%=797.25.
4. We know, that x% equals 4.25 of the output value, so we can write it down as x%=4.25.
5. Now we have two simple equations:
1) 100%=797.25
2) x%=4.25
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%=797.25/4.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.25 is what percent of 797.25

100%/x%=797.25/4.25
(100/x)*x=(797.25/4.25)*x       - we multiply both sides of the equation by x
100=187.58823529412*x       - we divide both sides of the equation by (187.58823529412) to get x
100/187.58823529412=x
0.53308247099404=x
x=0.53308247099404

now we have:
4.25 is 0.53308247099404% of 797.25