66.23 is what percent of 267.5 - 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 267.5 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 267.5, so we can write it down as 100%=267.5.
4. We know, that x% equals 66.23 of the output value, so we can write it down as x%=66.23.
5. Now we have two simple equations:
1) 100%=267.5
2) x%=66.23
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%=267.5/66.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 66.23 is what percent of 267.5

100%/x%=267.5/66.23
(100/x)*x=(267.5/66.23)*x       - we multiply both sides of the equation by x
100=4.0389551562736*x       - we divide both sides of the equation by (4.0389551562736) to get x
100/4.0389551562736=x
24.758878504673=x
x=24.758878504673

now we have:
66.23 is 24.758878504673% of 267.5