24.96 is what percent of 96.46 - 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 96.46 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 96.46, so we can write it down as 100%=96.46.
4. We know, that x% equals 24.96 of the output value, so we can write it down as x%=24.96.
5. Now we have two simple equations:
1) 100%=96.46
2) x%=24.96
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%=96.46/24.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.96 is what percent of 96.46

100%/x%=96.46/24.96
(100/x)*x=(96.46/24.96)*x       - we multiply both sides of the equation by x
100=3.8645833333333*x       - we divide both sides of the equation by (3.8645833333333) to get x
100/3.8645833333333=x
25.876010781671=x
x=25.876010781671

now we have:
24.96 is 25.876010781671% of 96.46