46.4 is what percent of 25000 - 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 25000 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 25000, so we can write it down as 100%=25000.
4. We know, that x% equals 46.4 of the output value, so we can write it down as x%=46.4.
5. Now we have two simple equations:
1) 100%=25000
2) x%=46.4
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%=25000/46.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.4 is what percent of 25000

100%/x%=25000/46.4
(100/x)*x=(25000/46.4)*x       - we multiply both sides of the equation by x
100=538.79310344828*x       - we divide both sides of the equation by (538.79310344828) to get x
100/538.79310344828=x
0.1856=x
x=0.1856

now we have:
46.4 is 0.1856% of 25000