25 is what percent of 2182 - 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 2182 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 2182, so we can write it down as 100%=2182.
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%=2182
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%=2182/25
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 2182

100%/x%=2182/25
(100/x)*x=(2182/25)*x       - we multiply both sides of the equation by x
100=87.28*x       - we divide both sides of the equation by (87.28) to get x
100/87.28=x
1.1457378551787=x
x=1.1457378551787

now we have:
25 is 1.1457378551787% of 2182