262.72 is what percent of 1016.5 - 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 1016.5 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 1016.5, so we can write it down as 100%=1016.5.
4. We know, that x% equals 262.72 of the output value, so we can write it down as x%=262.72.
5. Now we have two simple equations:
1) 100%=1016.5
2) x%=262.72
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%=1016.5/262.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 262.72 is what percent of 1016.5

100%/x%=1016.5/262.72
(100/x)*x=(1016.5/262.72)*x       - we multiply both sides of the equation by x
100=3.8691382460414*x       - we divide both sides of the equation by (3.8691382460414) to get x
100/3.8691382460414=x
25.845548450566=x
x=25.845548450566

now we have:
262.72 is 25.845548450566% of 1016.5