The first step to find the total number of gingerbread men is to add the number with each decoration: 6 men + 9 men = <<6+9=15>>15 men
Then subtract the number of gingerbread men with both decorations to find the total number of gingerbread men: 15 men - 3 men = <<15-3=12>>12 men
Then divide the number of gingerbread men with red hats by the total number and multiply by 100% to express the answer as a percentage: 6 men / 12 men * 100% = 50%
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