25 is what percent of 268.21 - 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 268.21 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 268.21, so we can write it down as 100%=268.21.
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%=268.21
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%=268.21/25
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 268.21

100%/x%=268.21/25
(100/x)*x=(268.21/25)*x       - we multiply both sides of the equation by x
100=10.7284*x       - we divide both sides of the equation by (10.7284) to get x
100/10.7284=x
9.3210543976735=x
x=9.3210543976735

now we have:
25 is 9.3210543976735% of 268.21