38.64 is what percent of 900 - 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 900 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 900, so we can write it down as 100%=900.
4. We know, that x% equals 38.64 of the output value, so we can write it down as x%=38.64.
5. Now we have two simple equations:
1) 100%=900
2) x%=38.64
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%=900/38.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.64 is what percent of 900

100%/x%=900/38.64
(100/x)*x=(900/38.64)*x       - we multiply both sides of the equation by x
100=23.291925465839*x       - we divide both sides of the equation by (23.291925465839) to get x
100/23.291925465839=x
4.2933333333333=x
x=4.2933333333333

now we have:
38.64 is 4.2933333333333% of 900