24 is what percent of 98.54 - 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 98.54 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 98.54, so we can write it down as 100%=98.54.
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%=98.54
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%=98.54/24
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 98.54

100%/x%=98.54/24
(100/x)*x=(98.54/24)*x       - we multiply both sides of the equation by x
100=4.1058333333333*x       - we divide both sides of the equation by (4.1058333333333) to get x
100/4.1058333333333=x
24.355591637914=x
x=24.355591637914

now we have:
24 is 24.355591637914% of 98.54