114.46 is what percent of 1846.16 - 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 1846.16 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 1846.16, so we can write it down as 100%=1846.16.
4. We know, that x% equals 114.46 of the output value, so we can write it down as x%=114.46.
5. Now we have two simple equations:
1) 100%=1846.16
2) x%=114.46
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%=1846.16/114.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 114.46 is what percent of 1846.16

100%/x%=1846.16/114.46
(100/x)*x=(1846.16/114.46)*x       - we multiply both sides of the equation by x
100=16.12930281321*x       - we divide both sides of the equation by (16.12930281321) to get x
100/16.12930281321=x
6.1998960003467=x
x=6.1998960003467

now we have:
114.46 is 6.1998960003467% of 1846.16