25 is what percent of 12740 - 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 12740 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 12740, so we can write it down as 100%=12740.
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%=12740
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%=12740/25
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 12740

100%/x%=12740/25
(100/x)*x=(12740/25)*x       - we multiply both sides of the equation by x
100=509.6*x       - we divide both sides of the equation by (509.6) to get x
100/509.6=x
0.19623233908948=x
x=0.19623233908948

now we have:
25 is 0.19623233908948% of 12740