66.75 is what percent of 266.75 - 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 266.75 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 266.75, so we can write it down as 100%=266.75.
4. We know, that x% equals 66.75 of the output value, so we can write it down as x%=66.75.
5. Now we have two simple equations:
1) 100%=266.75
2) x%=66.75
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%=266.75/66.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 66.75 is what percent of 266.75

100%/x%=266.75/66.75
(100/x)*x=(266.75/66.75)*x       - we multiply both sides of the equation by x
100=3.9962546816479*x       - we divide both sides of the equation by (3.9962546816479) to get x
100/3.9962546816479=x
25.023430178069=x
x=25.023430178069

now we have:
66.75 is 25.023430178069% of 266.75