667.2 is what percent of 6060 - 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 6060 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 6060, so we can write it down as 100%=6060.
4. We know, that x% equals 667.2 of the output value, so we can write it down as x%=667.2.
5. Now we have two simple equations:
1) 100%=6060
2) x%=667.2
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%=6060/667.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 667.2 is what percent of 6060

100%/x%=6060/667.2
(100/x)*x=(6060/667.2)*x       - we multiply both sides of the equation by x
100=9.0827338129496*x       - we divide both sides of the equation by (9.0827338129496) to get x
100/9.0827338129496=x
11.009900990099=x
x=11.009900990099

now we have:
667.2 is 11.009900990099% of 6060