1078.9 is what percent of 1728 - 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 1728 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 1728, so we can write it down as 100%=1728.
4. We know, that x% equals 1078.9 of the output value, so we can write it down as x%=1078.9.
5. Now we have two simple equations:
1) 100%=1728
2) x%=1078.9
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%=1728/1078.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1078.9 is what percent of 1728

100%/x%=1728/1078.9
(100/x)*x=(1728/1078.9)*x       - we multiply both sides of the equation by x
100=1.6016312911299*x       - we divide both sides of the equation by (1.6016312911299) to get x
100/1.6016312911299=x
62.436342592593=x
x=62.436342592593

now we have:
1078.9 is 62.436342592593% of 1728