11.45 is what percent of 384.62 - 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 384.62 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 384.62, so we can write it down as 100%=384.62.
4. We know, that x% equals 11.45 of the output value, so we can write it down as x%=11.45.
5. Now we have two simple equations:
1) 100%=384.62
2) x%=11.45
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%=384.62/11.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.45 is what percent of 384.62

100%/x%=384.62/11.45
(100/x)*x=(384.62/11.45)*x       - we multiply both sides of the equation by x
100=33.591266375546*x       - we divide both sides of the equation by (33.591266375546) to get x
100/33.591266375546=x
2.9769642764287=x
x=2.9769642764287

now we have:
11.45 is 2.9769642764287% of 384.62