53.9 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 53.9 of the output value, so we can write it down as x%=53.9.
5. Now we have two simple equations:
1) 100%=66.4
2) x%=53.9
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%=66.4/53.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 53.9 is what percent of 66.4

100%/x%=66.4/53.9
(100/x)*x=(66.4/53.9)*x       - we multiply both sides of the equation by x
100=1.2319109461967*x       - we divide both sides of the equation by (1.2319109461967) to get x
100/1.2319109461967=x
81.174698795181=x
x=81.174698795181

now we have:
53.9 is 81.174698795181% of 66.4