Who is the company that manufactures MAC and Estee Lauder?

I heard that MAC doesn't make their own make up, that it's made by a make up manufacturer...the same one that also makes Estee Lauder products. Just curious. I googled it and all the results were alibaba type Asian wholesalers that I'm sure are fakes.|||estee lauder is the parent company|||Estee Lauder is the company that manufactures MAC