6.6 is what percent of 52.43 - 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 52.43 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 52.43, so we can write it down as 100%=52.43.
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%=52.43
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%=52.43/6.6
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 52.43

100%/x%=52.43/6.6
(100/x)*x=(52.43/6.6)*x       - we multiply both sides of the equation by x
100=7.9439393939394*x       - we divide both sides of the equation by (7.9439393939394) to get x
100/7.9439393939394=x
12.588212855236=x
x=12.588212855236

now we have:
6.6 is 12.588212855236% of 52.43