1146.25 is what percent of 6609 - 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 6609 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 6609, so we can write it down as 100%=6609.
4. We know, that x% equals 1146.25 of the output value, so we can write it down as x%=1146.25.
5. Now we have two simple equations:
1) 100%=6609
2) x%=1146.25
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%=6609/1146.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1146.25 is what percent of 6609

100%/x%=6609/1146.25
(100/x)*x=(6609/1146.25)*x       - we multiply both sides of the equation by x
100=5.7657579062159*x       - we divide both sides of the equation by (5.7657579062159) to get x
100/5.7657579062159=x
17.343773642003=x
x=17.343773642003

now we have:
1146.25 is 17.343773642003% of 6609