1488.44 is what percent of 1744.82 - 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 1744.82 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 1744.82, so we can write it down as 100%=1744.82.
4. We know, that x% equals 1488.44 of the output value, so we can write it down as x%=1488.44.
5. Now we have two simple equations:
1) 100%=1744.82
2) x%=1488.44
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%=1744.82/1488.44
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1488.44 is what percent of 1744.82

100%/x%=1744.82/1488.44
(100/x)*x=(1744.82/1488.44)*x       - we multiply both sides of the equation by x
100=1.1722474537099*x       - we divide both sides of the equation by (1.1722474537099) to get x
100/1.1722474537099=x
85.306220698983=x
x=85.306220698983

now we have:
1488.44 is 85.306220698983% of 1744.82