25 is what percent of 32200 - 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 32200 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 32200, so we can write it down as 100%=32200.
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%=32200
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%=32200/25
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 32200

100%/x%=32200/25
(100/x)*x=(32200/25)*x       - we multiply both sides of the equation by x
100=1288*x       - we divide both sides of the equation by (1288) to get x
100/1288=x
0.077639751552795=x
x=0.077639751552795

now we have:
25 is 0.077639751552795% of 32200