25 is what percent of 46594 - 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 46594 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 46594, so we can write it down as 100%=46594.
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%=46594
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%=46594/25
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 46594

100%/x%=46594/25
(100/x)*x=(46594/25)*x       - we multiply both sides of the equation by x
100=1863.76*x       - we divide both sides of the equation by (1863.76) to get x
100/1863.76=x
0.05365497703567=x
x=0.05365497703567

now we have:
25 is 0.05365497703567% of 46594