24.67 is what percent of 32 - 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 32 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 32, so we can write it down as 100%=32.
4. We know, that x% equals 24.67 of the output value, so we can write it down as x%=24.67.
5. Now we have two simple equations:
1) 100%=32
2) x%=24.67
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%=32/24.67
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.67 is what percent of 32

100%/x%=32/24.67
(100/x)*x=(32/24.67)*x       - we multiply both sides of the equation by x
100=1.2971220105391*x       - we divide both sides of the equation by (1.2971220105391) to get x
100/1.2971220105391=x
77.09375=x
x=77.09375

now we have:
24.67 is 77.09375% of 32