24.5 is what percent of 82.75 - 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 82.75 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 82.75, so we can write it down as 100%=82.75.
4. We know, that x% equals 24.5 of the output value, so we can write it down as x%=24.5.
5. Now we have two simple equations:
1) 100%=82.75
2) x%=24.5
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%=82.75/24.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.5 is what percent of 82.75

100%/x%=82.75/24.5
(100/x)*x=(82.75/24.5)*x       - we multiply both sides of the equation by x
100=3.3775510204082*x       - we divide both sides of the equation by (3.3775510204082) to get x
100/3.3775510204082=x
29.607250755287=x
x=29.607250755287

now we have:
24.5 is 29.607250755287% of 82.75