24.77 is what percent of 467.43 - 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 467.43 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 467.43, so we can write it down as 100%=467.43.
4. We know, that x% equals 24.77 of the output value, so we can write it down as x%=24.77.
5. Now we have two simple equations:
1) 100%=467.43
2) x%=24.77
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%=467.43/24.77
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.77 is what percent of 467.43

100%/x%=467.43/24.77
(100/x)*x=(467.43/24.77)*x       - we multiply both sides of the equation by x
100=18.870811465482*x       - we divide both sides of the equation by (18.870811465482) to get x
100/18.870811465482=x
5.2991891834071=x
x=5.2991891834071

now we have:
24.77 is 5.2991891834071% of 467.43