4.65 is what percent of 8.23 - 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 8.23 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 8.23, so we can write it down as 100%=8.23.
4. We know, that x% equals 4.65 of the output value, so we can write it down as x%=4.65.
5. Now we have two simple equations:
1) 100%=8.23
2) x%=4.65
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%=8.23/4.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 4.65 is what percent of 8.23

100%/x%=8.23/4.65
(100/x)*x=(8.23/4.65)*x       - we multiply both sides of the equation by x
100=1.7698924731183*x       - we divide both sides of the equation by (1.7698924731183) to get x
100/1.7698924731183=x
56.500607533414=x
x=56.500607533414

now we have:
4.65 is 56.500607533414% of 8.23