25 is what percent of 267.41 - 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 267.41 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 267.41, so we can write it down as 100%=267.41.
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%=267.41
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%=267.41/25
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 267.41

100%/x%=267.41/25
(100/x)*x=(267.41/25)*x       - we multiply both sides of the equation by x
100=10.6964*x       - we divide both sides of the equation by (10.6964) to get x
100/10.6964=x
9.3489398302233=x
x=9.3489398302233

now we have:
25 is 9.3489398302233% of 267.41