1025.6 is what percent of 1720 - 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 1720 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 1720, so we can write it down as 100%=1720.
4. We know, that x% equals 1025.6 of the output value, so we can write it down as x%=1025.6.
5. Now we have two simple equations:
1) 100%=1720
2) x%=1025.6
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%=1720/1025.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1025.6 is what percent of 1720

100%/x%=1720/1025.6
(100/x)*x=(1720/1025.6)*x       - we multiply both sides of the equation by x
100=1.6770670826833*x       - we divide both sides of the equation by (1.6770670826833) to get x
100/1.6770670826833=x
59.627906976744=x
x=59.627906976744

now we have:
1025.6 is 59.627906976744% of 1720