You may be better off asking this in the Deluxe forums I think.
Doing a bit of google-fu, both Persil and Ariel appear to be HE detergents, so I don't think they could harm your machine. Your clothing on the other hand.....
Something to think about... Your Maytag is considerably larger than that of a typical European style washing machine. According to the specifications, your machine has a 4.0 cu.ft tub, whereas your Typical European washer has a 1.75 to 2.5 cu.ft tub.
I would probably use the instructions on the box first and see what kind of cleaning results you get. If the results do not come out to your liking, then I would experiment by using more detergent.. (ie. For example, using 1.5 times the recommended amount)
Of course, I'd also probably watch how much soap would be left over in the rinse cycles and see if oversudsing is happening. In theory, if you did it right, the last rinse should be nearly clear with no soap residue in the water.
I'm sure other people on this forum have a few select words to say.. but considering I've never seen a box of Persil or Ariel in my life and that I actually wash using Generic Costco branded Non-HE powder, I think everything I say you should take with a grain of salt!