25 is what percent of 926.93 - 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 926.93 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 926.93, so we can write it down as 100%=926.93.
4. We know, that x% equals 25 of the output value, so we can write it down as x%=25.
5. Now we have two simple equations:
1) 100%=926.93
2) x%=25
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%=926.93/25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25 is what percent of 926.93

100%/x%=926.93/25
(100/x)*x=(926.93/25)*x       - we multiply both sides of the equation by x
100=37.0772*x       - we divide both sides of the equation by (37.0772) to get x
100/37.0772=x
2.6970752915538=x
x=2.6970752915538

now we have:
25 is 2.6970752915538% of 926.93