Actually, they didn’t. They used two tumans under Buri and Kadaan to destroy one Polish Army in front of Crackow, sack Crackow, annihilate [almost to a man], a second army of 40,000 at Liegnitz, and to burn down Bohemia and Moravia. And that was just a feint.
Somewhere between 40,000 and 60,000 Mongols under Batu Quan and Subudei fought something like 100,000 Hungarians, and killed 70,000 of them at Mohi. They took Buda and Pest around Christmas, and by Spring they were raiding Vienna, infiltrating northern Italy, and had a tuman chasing Bela IV down the Adriatic coast. They couldn’t have done that with higher than normal casualties.
It was the costs involved with taking the Hungarians that led to their halt of expansion into Europe. Mongols were not used to taking such casualties. The casualties were higher then they ever experienced up to that point. At least that was the claim postulated on a web site. Can try to dig it up for you if you like.