25.75 is what percent of 662.02 - 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 662.02 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 662.02, so we can write it down as 100%=662.02.
4. We know, that x% equals 25.75 of the output value, so we can write it down as x%=25.75.
5. Now we have two simple equations:
1) 100%=662.02
2) x%=25.75
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%=662.02/25.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25.75 is what percent of 662.02

100%/x%=662.02/25.75
(100/x)*x=(662.02/25.75)*x       - we multiply both sides of the equation by x
100=25.709514563107*x       - we divide both sides of the equation by (25.709514563107) to get x
100/25.709514563107=x
3.8896105857829=x
x=3.8896105857829

now we have:
25.75 is 3.8896105857829% of 662.02