25.83 is what percent of 79.44 - 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 79.44 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 79.44, so we can write it down as 100%=79.44.
4. We know, that x% equals 25.83 of the output value, so we can write it down as x%=25.83.
5. Now we have two simple equations:
1) 100%=79.44
2) x%=25.83
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%=79.44/25.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25.83 is what percent of 79.44

100%/x%=79.44/25.83
(100/x)*x=(79.44/25.83)*x       - we multiply both sides of the equation by x
100=3.075493612079*x       - we divide both sides of the equation by (3.075493612079) to get x
100/3.075493612079=x
32.515105740181=x
x=32.515105740181

now we have:
25.83 is 32.515105740181% of 79.44