39.43 is what percent of 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 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 3, so we can write it down as 100%=3.
4. We know, that x% equals 39.43 of the output value, so we can write it down as x%=39.43.
5. Now we have two simple equations:
1) 100%=3
2) x%=39.43
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%=3/39.43
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.43 is what percent of 3

100%/x%=3/39.43
(100/x)*x=(3/39.43)*x       - we multiply both sides of the equation by x
100=0.076084199847832*x       - we divide both sides of the equation by (0.076084199847832) to get x
100/0.076084199847832=x
1314.3333333333=x
x=1314.3333333333

now we have:
39.43 is 1314.3333333333% of 3