4922.25 is what percent of 4945.25 - 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 4945.25 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 4945.25, so we can write it down as 100%=4945.25.
4. We know, that x% equals 4922.25 of the output value, so we can write it down as x%=4922.25.
5. Now we have two simple equations:
1) 100%=4945.25
2) x%=4922.25
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%=4945.25/4922.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4922.25 is what percent of 4945.25

100%/x%=4945.25/4922.25
(100/x)*x=(4945.25/4922.25)*x       - we multiply both sides of the equation by x
100=1.0046726598608*x       - we divide both sides of the equation by (1.0046726598608) to get x
100/1.0046726598608=x
99.534907234215=x
x=99.534907234215

now we have:
4922.25 is 99.534907234215% of 4945.25