24 is what percent of 98.25 - 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 98.25 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 98.25, so we can write it down as 100%=98.25.
4. We know, that x% equals 24 of the output value, so we can write it down as x%=24.
5. Now we have two simple equations:
1) 100%=98.25
2) x%=24
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%=98.25/24
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24 is what percent of 98.25

100%/x%=98.25/24
(100/x)*x=(98.25/24)*x       - we multiply both sides of the equation by x
100=4.09375*x       - we divide both sides of the equation by (4.09375) to get x
100/4.09375=x
24.427480916031=x
x=24.427480916031

now we have:
24 is 24.427480916031% of 98.25