Rubuta ci gaba ga wannan sakin layi - Ya rubuta shirinsa na farko na riga-kafi a 1988, shekaru biyu bayan bayyanar kwayar cutar kwamfuta ta farko. Ya shiga kasuwanci ya fara tare da abokinsa Eduard Kučera a ƙarshen mulkin gurguzu a 1989
, lokacin da ya kafa Alwil. A farkon shekarun 1990, an sake sunan kamfanin zuwa Avast Software, dangane da sanannen samfurinsa, Avast Antivirus. Ba da daɗewa ba ya fuskanci babbar gasa, musamman daga Symantec, wanda ya yi amfani da manufofin farashi mai ƙarfi a cikin yunƙurin jagorantar kasuwa. A cikin martani Baudiš da Kucera sun ɗauki dabarun kariya mai ƙarfi, suna ba da samfuransu kyauta. Sakamakon haka, Avast a ƙarshe ya fito a matsayin babbar kamfanin anti-virus a duniya.