43.18 is what percent of 660 - 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 660 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 660, so we can write it down as 100%=660.
4. We know, that x% equals 43.18 of the output value, so we can write it down as x%=43.18.
5. Now we have two simple equations:
1) 100%=660
2) x%=43.18
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%=660/43.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 43.18 is what percent of 660

100%/x%=660/43.18
(100/x)*x=(660/43.18)*x       - we multiply both sides of the equation by x
100=15.28485409912*x       - we divide both sides of the equation by (15.28485409912) to get x
100/15.28485409912=x
6.5424242424242=x
x=6.5424242424242

now we have:
43.18 is 6.5424242424242% of 660