6.6 is what percent of 159.16 - 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 159.16 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 159.16, so we can write it down as 100%=159.16.
4. We know, that x% equals 6.6 of the output value, so we can write it down as x%=6.6.
5. Now we have two simple equations:
1) 100%=159.16
2) x%=6.6
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%=159.16/6.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.6 is what percent of 159.16

100%/x%=159.16/6.6
(100/x)*x=(159.16/6.6)*x       - we multiply both sides of the equation by x
100=24.115151515152*x       - we divide both sides of the equation by (24.115151515152) to get x
100/24.115151515152=x
4.1467705453632=x
x=4.1467705453632

now we have:
6.6 is 4.1467705453632% of 159.16