1255.8 is what percent of 1303 - 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 1303 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 1303, so we can write it down as 100%=1303.
4. We know, that x% equals 1255.8 of the output value, so we can write it down as x%=1255.8.
5. Now we have two simple equations:
1) 100%=1303
2) x%=1255.8
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%=1303/1255.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1255.8 is what percent of 1303

100%/x%=1303/1255.8
(100/x)*x=(1303/1255.8)*x       - we multiply both sides of the equation by x
100=1.037585602803*x       - we divide both sides of the equation by (1.037585602803) to get x
100/1.037585602803=x
96.377590176516=x
x=96.377590176516

now we have:
1255.8 is 96.377590176516% of 1303