48.29 is what percent of 1559.31 - 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 1559.31 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 1559.31, so we can write it down as 100%=1559.31.
4. We know, that x% equals 48.29 of the output value, so we can write it down as x%=48.29.
5. Now we have two simple equations:
1) 100%=1559.31
2) x%=48.29
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%=1559.31/48.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 48.29 is what percent of 1559.31

100%/x%=1559.31/48.29
(100/x)*x=(1559.31/48.29)*x       - we multiply both sides of the equation by x
100=32.290536342928*x       - we divide both sides of the equation by (32.290536342928) to get x
100/32.290536342928=x
3.096882595507=x
x=3.096882595507

now we have:
48.29 is 3.096882595507% of 1559.31