28.23 is what percent of 66.75 - 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 66.75 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 66.75, so we can write it down as 100%=66.75.
4. We know, that x% equals 28.23 of the output value, so we can write it down as x%=28.23.
5. Now we have two simple equations:
1) 100%=66.75
2) x%=28.23
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%=66.75/28.23
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28.23 is what percent of 66.75

100%/x%=66.75/28.23
(100/x)*x=(66.75/28.23)*x       - we multiply both sides of the equation by x
100=2.3645058448459*x       - we divide both sides of the equation by (2.3645058448459) to get x
100/2.3645058448459=x
42.292134831461=x
x=42.292134831461

now we have:
28.23 is 42.292134831461% of 66.75