25 is what percent of 1205 - 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 1205 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 1205, so we can write it down as 100%=1205.
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%=1205
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%=1205/25
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 1205

100%/x%=1205/25
(100/x)*x=(1205/25)*x       - we multiply both sides of the equation by x
100=48.2*x       - we divide both sides of the equation by (48.2) to get x
100/48.2=x
2.0746887966805=x
x=2.0746887966805

now we have:
25 is 2.0746887966805% of 1205