384.16 is what percent of 1212 - 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 1212 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 1212, so we can write it down as 100%=1212.
4. We know, that x% equals 384.16 of the output value, so we can write it down as x%=384.16.
5. Now we have two simple equations:
1) 100%=1212
2) x%=384.16
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%=1212/384.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 384.16 is what percent of 1212

100%/x%=1212/384.16
(100/x)*x=(1212/384.16)*x       - we multiply both sides of the equation by x
100=3.1549354435652*x       - we divide both sides of the equation by (3.1549354435652) to get x
100/3.1549354435652=x
31.696369636964=x
x=31.696369636964

now we have:
384.16 is 31.696369636964% of 1212