46.18 is what percent of 2000 - 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 2000 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 2000, so we can write it down as 100%=2000.
4. We know, that x% equals 46.18 of the output value, so we can write it down as x%=46.18.
5. Now we have two simple equations:
1) 100%=2000
2) x%=46.18
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%=2000/46.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 46.18 is what percent of 2000

100%/x%=2000/46.18
(100/x)*x=(2000/46.18)*x       - we multiply both sides of the equation by x
100=43.308791684712*x       - we divide both sides of the equation by (43.308791684712) to get x
100/43.308791684712=x
2.309=x
x=2.309

now we have:
46.18 is 2.309% of 2000