29.25 is what percent of 257.6 - 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 257.6 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 257.6, so we can write it down as 100%=257.6.
4. We know, that x% equals 29.25 of the output value, so we can write it down as x%=29.25.
5. Now we have two simple equations:
1) 100%=257.6
2) x%=29.25
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%=257.6/29.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 29.25 is what percent of 257.6

100%/x%=257.6/29.25
(100/x)*x=(257.6/29.25)*x       - we multiply both sides of the equation by x
100=8.8068376068376*x       - we divide both sides of the equation by (8.8068376068376) to get x
100/8.8068376068376=x
11.354813664596=x
x=11.354813664596

now we have:
29.25 is 11.354813664596% of 257.6