9667.36 is what percent of 42966.08 - 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 42966.08 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 42966.08, so we can write it down as 100%=42966.08.
4. We know, that x% equals 9667.36 of the output value, so we can write it down as x%=9667.36.
5. Now we have two simple equations:
1) 100%=42966.08
2) x%=9667.36
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%=42966.08/9667.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 9667.36 is what percent of 42966.08

100%/x%=42966.08/9667.36
(100/x)*x=(42966.08/9667.36)*x       - we multiply both sides of the equation by x
100=4.4444481223416*x       - we divide both sides of the equation by (4.4444481223416) to get x
100/4.4444481223416=x
22.499981380661=x
x=22.499981380661

now we have:
9667.36 is 22.499981380661% of 42966.08