6.2 is what percent of 66.1 - 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 66.1 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 66.1, so we can write it down as 100%=66.1.
4. We know, that x% equals 6.2 of the output value, so we can write it down as x%=6.2.
5. Now we have two simple equations:
1) 100%=66.1
2) x%=6.2
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%=66.1/6.2
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6.2 is what percent of 66.1

100%/x%=66.1/6.2
(100/x)*x=(66.1/6.2)*x       - we multiply both sides of the equation by x
100=10.661290322581*x       - we divide both sides of the equation by (10.661290322581) to get x
100/10.661290322581=x
9.3797276853253=x
x=9.3797276853253

now we have:
6.2 is 9.3797276853253% of 66.1