Ibn Uthaimeen, may Allah the most high be pleased with him says:

The basis in every consumables, drinks, and wears, is permissibility until there is a proof that states that it is forbidden. Allah, the most high, says:

It is He who created for you all of that which is on the earth. Then He directed Himself to heaven, [His being above all creation], and made them seven heavens, and He is Knowing of all things.[Quran 2 : 29 ]

Whoever, among mankind, says: this drink is forbidden or this food is forbidden or this wear is forbidden, ask him: show evidence. If he presents a proof, then the proof justifies the action. If he doesn’t show any evidence, his statement will be rebutted to him. For indeed Allah, the most high, says 

It is He who created for you all of that which is on the earth. Then He directed Himself to the heaven, [His being above all creation], and made them seven heavens, and He is Knowing of all things.[Quran 2 : 29 ]

Allah created all what’s on the earth for us and He emphasize this generally and completely with His statement :

And why should you not eat of that upon which the name of Allah has been mentioned while He has explained in detail to you what He has forbidden you, excepting that to which you are compelled. And indeed do many lead [others] astray through their [own] inclinations without knowledge. Indeed, your Lord – He is most knowing of the transgressors. [Quran 6 : 119 ]

We shouldn’t think that any amount from the alcohol that’s present in something makes it prohibited, rather, if it has an impact whereby when a person drinks from this mixture of alcohol, he gets drunk, it becomes forbidden. 

But if it is a small quantity with little or no effect, and it doesn’t intoxicate, it is indeed permissible. 

Some people thought that the saying of the prophet, may Allah’s peace and blessings be upon him :

Whatever intoxicates, whether small or great proportion is forbidden. That its meaning is what is mixed with a fair amount is forbidden even if it is much. However, this is an incorrect understanding of the Hadith. 

Whatever intoxicates greatly, its small amount, is forbidden, meaning that anything which whenever there is much quantity of alcohol in it, makes intoxication occur. And when you have a fraction of it, it will not make intoxication happen. Whether small or great percentage, it is forbidden. For indeed whenever you drink a small quantity which will not intoxicate, it will call your attention to take more, then you will get drunk. But the one that is mixed with the intoxicant and the amount of intoxication there is little, and it doesn’t have an impact, that is permissible. And it is not included in the Hadith.