42.7 is what percent of 384.3 - 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 384.3 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 384.3, so we can write it down as 100%=384.3.
4. We know, that x% equals 42.7 of the output value, so we can write it down as x%=42.7.
5. Now we have two simple equations:
1) 100%=384.3
2) x%=42.7
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%=384.3/42.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.7 is what percent of 384.3

100%/x%=384.3/42.7
(100/x)*x=(384.3/42.7)*x       - we multiply both sides of the equation by x
100=9*x       - we divide both sides of the equation by (9) to get x
100/9=x
11.111111111111=x
x=11.111111111111

now we have:
42.7 is 11.111111111111% of 384.3