39.4 is what percent of 52 - 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 52 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 52, so we can write it down as 100%=52.
4. We know, that x% equals 39.4 of the output value, so we can write it down as x%=39.4.
5. Now we have two simple equations:
1) 100%=52
2) x%=39.4
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%=52/39.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.4 is what percent of 52

100%/x%=52/39.4
(100/x)*x=(52/39.4)*x       - we multiply both sides of the equation by x
100=1.3197969543147*x       - we divide both sides of the equation by (1.3197969543147) to get x
100/1.3197969543147=x
75.769230769231=x
x=75.769230769231

now we have:
39.4 is 75.769230769231% of 52