3.64 is what percent of 2.004 - 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 2.004 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 2.004, so we can write it down as 100%=2.004.
4. We know, that x% equals 3.64 of the output value, so we can write it down as x%=3.64.
5. Now we have two simple equations:
1) 100%=2.004
2) x%=3.64
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%=2.004/3.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.64 is what percent of 2.004

100%/x%=2.004/3.64
(100/x)*x=(2.004/3.64)*x       - we multiply both sides of the equation by x
100=0.55054945054945*x       - we divide both sides of the equation by (0.55054945054945) to get x
100/0.55054945054945=x
181.63672654691=x
x=181.63672654691

now we have:
3.64 is 181.63672654691% of 2.004