267.25 is what percent of 932.75 - 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 932.75 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 932.75, so we can write it down as 100%=932.75.
4. We know, that x% equals 267.25 of the output value, so we can write it down as x%=267.25.
5. Now we have two simple equations:
1) 100%=932.75
2) x%=267.25
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%=932.75/267.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 267.25 is what percent of 932.75

100%/x%=932.75/267.25
(100/x)*x=(932.75/267.25)*x       - we multiply both sides of the equation by x
100=3.4901777362021*x       - we divide both sides of the equation by (3.4901777362021) to get x
100/3.4901777362021=x
28.651835968909=x
x=28.651835968909

now we have:
267.25 is 28.651835968909% of 932.75