250.55 is what percent of 249.48 - 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 249.48 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 249.48, so we can write it down as 100%=249.48.
4. We know, that x% equals 250.55 of the output value, so we can write it down as x%=250.55.
5. Now we have two simple equations:
1) 100%=249.48
2) x%=250.55
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%=249.48/250.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 250.55 is what percent of 249.48

100%/x%=249.48/250.55
(100/x)*x=(249.48/250.55)*x       - we multiply both sides of the equation by x
100=0.99572939533027*x       - we divide both sides of the equation by (0.99572939533027) to get x
100/0.99572939533027=x
100.42889209556=x
x=100.42889209556

now we have:
250.55 is 100.42889209556% of 249.48