24.72 is what percent of 461.64 - 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 461.64 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 461.64, so we can write it down as 100%=461.64.
4. We know, that x% equals 24.72 of the output value, so we can write it down as x%=24.72.
5. Now we have two simple equations:
1) 100%=461.64
2) x%=24.72
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%=461.64/24.72
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 24.72 is what percent of 461.64

100%/x%=461.64/24.72
(100/x)*x=(461.64/24.72)*x       - we multiply both sides of the equation by x
100=18.674757281553*x       - we divide both sides of the equation by (18.674757281553) to get x
100/18.674757281553=x
5.3548219391734=x
x=5.3548219391734

now we have:
24.72 is 5.3548219391734% of 461.64