28 is what percent of 4.64 - 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 4.64 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 4.64, so we can write it down as 100%=4.64.
4. We know, that x% equals 28 of the output value, so we can write it down as x%=28.
5. Now we have two simple equations:
1) 100%=4.64
2) x%=28
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%=4.64/28
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 28 is what percent of 4.64

100%/x%=4.64/28
(100/x)*x=(4.64/28)*x       - we multiply both sides of the equation by x
100=0.16571428571429*x       - we divide both sides of the equation by (0.16571428571429) to get x
100/0.16571428571429=x
603.44827586207=x
x=603.44827586207

now we have:
28 is 603.44827586207% of 4.64