232.75 is what percent of 262 - 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 262 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 262, so we can write it down as 100%=262.
4. We know, that x% equals 232.75 of the output value, so we can write it down as x%=232.75.
5. Now we have two simple equations:
1) 100%=262
2) x%=232.75
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%=262/232.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 232.75 is what percent of 262

100%/x%=262/232.75
(100/x)*x=(262/232.75)*x       - we multiply both sides of the equation by x
100=1.12567132116*x       - we divide both sides of the equation by (1.12567132116) to get x
100/1.12567132116=x
88.835877862595=x
x=88.835877862595

now we have:
232.75 is 88.835877862595% of 262