11.4 is what percent of 1846 - 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 1846 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 1846, so we can write it down as 100%=1846.
4. We know, that x% equals 11.4 of the output value, so we can write it down as x%=11.4.
5. Now we have two simple equations:
1) 100%=1846
2) x%=11.4
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%=1846/11.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.4 is what percent of 1846

100%/x%=1846/11.4
(100/x)*x=(1846/11.4)*x       - we multiply both sides of the equation by x
100=161.9298245614*x       - we divide both sides of the equation by (161.9298245614) to get x
100/161.9298245614=x
0.61755146262189=x
x=0.61755146262189

now we have:
11.4 is 0.61755146262189% of 1846