4.64 is what percent of 0.1 - 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 0.1 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 0.1, so we can write it down as 100%=0.1.
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%=0.1
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%=0.1/4.64
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 0.1

100%/x%=0.1/4.64
(100/x)*x=(0.1/4.64)*x       - we multiply both sides of the equation by x
100=0.021551724137931*x       - we divide both sides of the equation by (0.021551724137931) to get x
100/0.021551724137931=x
4640=x
x=4640

now we have:
4.64 is 4640% of 0.1