39.53 is what percent of 3900 - 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 3900 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 3900, so we can write it down as 100%=3900.
4. We know, that x% equals 39.53 of the output value, so we can write it down as x%=39.53.
5. Now we have two simple equations:
1) 100%=3900
2) x%=39.53
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%=3900/39.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.53 is what percent of 3900

100%/x%=3900/39.53
(100/x)*x=(3900/39.53)*x       - we multiply both sides of the equation by x
100=98.659246142171*x       - we divide both sides of the equation by (98.659246142171) to get x
100/98.659246142171=x
1.0135897435897=x
x=1.0135897435897

now we have:
39.53 is 1.0135897435897% of 3900