66 is what percent of 71.3 - 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 71.3 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 71.3, so we can write it down as 100%=71.3.
4. We know, that x% equals 66 of the output value, so we can write it down as x%=66.
5. Now we have two simple equations:
1) 100%=71.3
2) x%=66
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%=71.3/66
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 66 is what percent of 71.3

100%/x%=71.3/66
(100/x)*x=(71.3/66)*x       - we multiply both sides of the equation by x
100=1.080303030303*x       - we divide both sides of the equation by (1.080303030303) to get x
100/1.080303030303=x
92.566619915849=x
x=92.566619915849

now we have:
66 is 92.566619915849% of 71.3