254.61 is what percent of 461.25 - 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 461.25 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 461.25, so we can write it down as 100%=461.25.
4. We know, that x% equals 254.61 of the output value, so we can write it down as x%=254.61.
5. Now we have two simple equations:
1) 100%=461.25
2) x%=254.61
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%=461.25/254.61
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 254.61 is what percent of 461.25

100%/x%=461.25/254.61
(100/x)*x=(461.25/254.61)*x       - we multiply both sides of the equation by x
100=1.8115942028986*x       - we divide both sides of the equation by (1.8115942028986) to get x
100/1.8115942028986=x
55.2=x
x=55.2

now we have:
254.61 is 55.2% of 461.25