25.12 is what percent of 268.34 - 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 268.34 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 268.34, so we can write it down as 100%=268.34.
4. We know, that x% equals 25.12 of the output value, so we can write it down as x%=25.12.
5. Now we have two simple equations:
1) 100%=268.34
2) x%=25.12
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%=268.34/25.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 25.12 is what percent of 268.34

100%/x%=268.34/25.12
(100/x)*x=(268.34/25.12)*x       - we multiply both sides of the equation by x
100=10.682324840764*x       - we divide both sides of the equation by (10.682324840764) to get x
100/10.682324840764=x
9.3612581053887=x
x=9.3612581053887

now we have:
25.12 is 9.3612581053887% of 268.34