6.68 is what percent of 55.62 - 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 55.62 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 55.62, so we can write it down as 100%=55.62.
4. We know, that x% equals 6.68 of the output value, so we can write it down as x%=6.68.
5. Now we have two simple equations:
1) 100%=55.62
2) x%=6.68
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%=55.62/6.68
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.68 is what percent of 55.62

100%/x%=55.62/6.68
(100/x)*x=(55.62/6.68)*x       - we multiply both sides of the equation by x
100=8.3263473053892*x       - we divide both sides of the equation by (8.3263473053892) to get x
100/8.3263473053892=x
12.010068320748=x
x=12.010068320748

now we have:
6.68 is 12.010068320748% of 55.62