7.09 is what percent of 66.3 - 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 66.3 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 66.3, so we can write it down as 100%=66.3.
4. We know, that x% equals 7.09 of the output value, so we can write it down as x%=7.09.
5. Now we have two simple equations:
1) 100%=66.3
2) x%=7.09
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%=66.3/7.09
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 7.09 is what percent of 66.3

100%/x%=66.3/7.09
(100/x)*x=(66.3/7.09)*x       - we multiply both sides of the equation by x
100=9.3511988716502*x       - we divide both sides of the equation by (9.3511988716502) to get x
100/9.3511988716502=x
10.693815987934=x
x=10.693815987934

now we have:
7.09 is 10.693815987934% of 66.3