25598.85 is what percent of 25857.42 - 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 25857.42 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 25857.42, so we can write it down as 100%=25857.42.
4. We know, that x% equals 25598.85 of the output value, so we can write it down as x%=25598.85.
5. Now we have two simple equations:
1) 100%=25857.42
2) x%=25598.85
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%=25857.42/25598.85
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25598.85 is what percent of 25857.42

100%/x%=25857.42/25598.85
(100/x)*x=(25857.42/25598.85)*x       - we multiply both sides of the equation by x
100=1.0101008443739*x       - we divide both sides of the equation by (1.0101008443739) to get x
100/1.0101008443739=x
99.00001624292=x
x=99.00001624292

now we have:
25598.85 is 99.00001624292% of 25857.42