492.72 is what percent of 739.75 - 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 739.75 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 739.75, so we can write it down as 100%=739.75.
4. We know, that x% equals 492.72 of the output value, so we can write it down as x%=492.72.
5. Now we have two simple equations:
1) 100%=739.75
2) x%=492.72
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%=739.75/492.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 492.72 is what percent of 739.75

100%/x%=739.75/492.72
(100/x)*x=(739.75/492.72)*x       - we multiply both sides of the equation by x
100=1.5013597986686*x       - we divide both sides of the equation by (1.5013597986686) to get x
100/1.5013597986686=x
66.606285907401=x
x=66.606285907401

now we have:
492.72 is 66.606285907401% of 739.75