What is 66.97 percent of 72.25 - 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 72.25 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 72.25 is 100%, so we can write it down as 72.25=100%.
4. We know, that x is 66.97% of the output value, so we can write it down as x=66.97%.
5. Now we have two simple equations:
1) 72.25=100%
2) x=66.97%
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:
72.25/x=100%/66.97%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 66.97% of 72.25

72.25/x=100/66.97
(72.25/x)*x=(100/66.97)*x       - we multiply both sides of the equation by x
72.25=1.4932059130954*x       - we divide both sides of the equation by (1.4932059130954) to get x
72.25/1.4932059130954=x
48.385825=x
x=48.385825

now we have:
66.97% of 72.25=48.385825