Probability: Male Smoker Probability Calculation

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Suppose that for adults in a certain population 40% are male, 38% smoke, and 12% are female smokers. What is the probability that a randomly chosen adult smoker is a male?
The Answer is apparently 0.6842
I have no idea how!
 
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I've always solved these problems by thinking about them in concrete terms.

Say there are 100 people.
38 smoke
12 are female smokers
So there must be 26 male smokers.
26/38 = ~0.6842
 

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