489.01 is what percent of 7733.72 - 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 7733.72 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 7733.72, so we can write it down as 100%=7733.72.
4. We know, that x% equals 489.01 of the output value, so we can write it down as x%=489.01.
5. Now we have two simple equations:
1) 100%=7733.72
2) x%=489.01
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%=7733.72/489.01
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 489.01 is what percent of 7733.72

100%/x%=7733.72/489.01
(100/x)*x=(7733.72/489.01)*x       - we multiply both sides of the equation by x
100=15.815054906853*x       - we divide both sides of the equation by (15.815054906853) to get x
100/15.815054906853=x
6.3230890179629=x
x=6.3230890179629

now we have:
489.01 is 6.3230890179629% of 7733.72