1742.88 is what percent of 3048 - 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 3048 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 3048, so we can write it down as 100%=3048.
4. We know, that x% equals 1742.88 of the output value, so we can write it down as x%=1742.88.
5. Now we have two simple equations:
1) 100%=3048
2) x%=1742.88
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%=3048/1742.88
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1742.88 is what percent of 3048

100%/x%=3048/1742.88
(100/x)*x=(3048/1742.88)*x       - we multiply both sides of the equation by x
100=1.7488295235472*x       - we divide both sides of the equation by (1.7488295235472) to get x
100/1.7488295235472=x
57.181102362205=x
x=57.181102362205

now we have:
1742.88 is 57.181102362205% of 3048