253.98 is what percent of 1015.9 - 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 1015.9 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 1015.9, so we can write it down as 100%=1015.9.
4. We know, that x% equals 253.98 of the output value, so we can write it down as x%=253.98.
5. Now we have two simple equations:
1) 100%=1015.9
2) x%=253.98
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%=1015.9/253.98
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 253.98 is what percent of 1015.9

100%/x%=1015.9/253.98
(100/x)*x=(1015.9/253.98)*x       - we multiply both sides of the equation by x
100=3.999921253642*x       - we divide both sides of the equation by (3.999921253642) to get x
100/3.999921253642=x
25.000492174427=x
x=25.000492174427

now we have:
253.98 is 25.000492174427% of 1015.9