66.84 is what percent of 74.4 - 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 74.4 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 74.4, so we can write it down as 100%=74.4.
4. We know, that x% equals 66.84 of the output value, so we can write it down as x%=66.84.
5. Now we have two simple equations:
1) 100%=74.4
2) x%=66.84
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%=74.4/66.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 66.84 is what percent of 74.4

100%/x%=74.4/66.84
(100/x)*x=(74.4/66.84)*x       - we multiply both sides of the equation by x
100=1.1131059245961*x       - we divide both sides of the equation by (1.1131059245961) to get x
100/1.1131059245961=x
89.838709677419=x
x=89.838709677419

now we have:
66.84 is 89.838709677419% of 74.4