262.62 is what percent of 1033.62 - 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 1033.62 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 1033.62, so we can write it down as 100%=1033.62.
4. We know, that x% equals 262.62 of the output value, so we can write it down as x%=262.62.
5. Now we have two simple equations:
1) 100%=1033.62
2) x%=262.62
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%=1033.62/262.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 262.62 is what percent of 1033.62

100%/x%=1033.62/262.62
(100/x)*x=(1033.62/262.62)*x       - we multiply both sides of the equation by x
100=3.9358007767878*x       - we divide both sides of the equation by (3.9358007767878) to get x
100/3.9358007767878=x
25.407790096941=x
x=25.407790096941

now we have:
262.62 is 25.407790096941% of 1033.62