251.3 is what percent of 254.5 - 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 254.5 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 254.5, so we can write it down as 100%=254.5.
4. We know, that x% equals 251.3 of the output value, so we can write it down as x%=251.3.
5. Now we have two simple equations:
1) 100%=254.5
2) x%=251.3
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%=254.5/251.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 251.3 is what percent of 254.5

100%/x%=254.5/251.3
(100/x)*x=(254.5/251.3)*x       - we multiply both sides of the equation by x
100=1.0127337843215*x       - we divide both sides of the equation by (1.0127337843215) to get x
100/1.0127337843215=x
98.742632612967=x
x=98.742632612967

now we have:
251.3 is 98.742632612967% of 254.5