4.64 is what percent of 25.454 - 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 25.454 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 25.454, so we can write it down as 100%=25.454.
4. We know, that x% equals 4.64 of the output value, so we can write it down as x%=4.64.
5. Now we have two simple equations:
1) 100%=25.454
2) x%=4.64
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%=25.454/4.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.64 is what percent of 25.454

100%/x%=25.454/4.64
(100/x)*x=(25.454/4.64)*x       - we multiply both sides of the equation by x
100=5.485775862069*x       - we divide both sides of the equation by (5.485775862069) to get x
100/5.485775862069=x
18.228962049187=x
x=18.228962049187

now we have:
4.64 is 18.228962049187% of 25.454