51.84 is what percent of 66.4 - 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 66.4 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 66.4, so we can write it down as 100%=66.4.
4. We know, that x% equals 51.84 of the output value, so we can write it down as x%=51.84.
5. Now we have two simple equations:
1) 100%=66.4
2) x%=51.84
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%=66.4/51.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 51.84 is what percent of 66.4

100%/x%=66.4/51.84
(100/x)*x=(66.4/51.84)*x       - we multiply both sides of the equation by x
100=1.2808641975309*x       - we divide both sides of the equation by (1.2808641975309) to get x
100/1.2808641975309=x
78.072289156627=x
x=78.072289156627

now we have:
51.84 is 78.072289156627% of 66.4