39.48 is what percent of 705.84 - 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 705.84 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 705.84, so we can write it down as 100%=705.84.
4. We know, that x% equals 39.48 of the output value, so we can write it down as x%=39.48.
5. Now we have two simple equations:
1) 100%=705.84
2) x%=39.48
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%=705.84/39.48
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 39.48 is what percent of 705.84

100%/x%=705.84/39.48
(100/x)*x=(705.84/39.48)*x       - we multiply both sides of the equation by x
100=17.878419452888*x       - we divide both sides of the equation by (17.878419452888) to get x
100/17.878419452888=x
5.593335600136=x
x=5.593335600136

now we have:
39.48 is 5.593335600136% of 705.84