40.04 is what percent of 1855.08 - 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 1855.08 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 1855.08, so we can write it down as 100%=1855.08.
4. We know, that x% equals 40.04 of the output value, so we can write it down as x%=40.04.
5. Now we have two simple equations:
1) 100%=1855.08
2) x%=40.04
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%=1855.08/40.04
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 40.04 is what percent of 1855.08

100%/x%=1855.08/40.04
(100/x)*x=(1855.08/40.04)*x       - we multiply both sides of the equation by x
100=46.330669330669*x       - we divide both sides of the equation by (46.330669330669) to get x
100/46.330669330669=x
2.1583974815102=x
x=2.1583974815102

now we have:
40.04 is 2.1583974815102% of 1855.08