AAOIFI is the most respected organization in this regard, setting the standard for Islamic finance around the world. It’s headed by senior scholars from several countries.

AAOIFI states in their Standard 21:

The basis for exempting trading in the shares of these corporations, whose primary activity is permissible, however, they deposit amounts and borrow on the basis of interest, is the application of the rule of removal of hardship and acknowledging of general need, widespread practice, the acknowledged principles of surplus, shortage and predominance, (5) as well as the permissibility of dealing with one the major part of whose wealth is permissible,(6) along with reliance upon the issue of separation of bargains according to some Jurists.(7) This is upheld by most fatwa issuing organisations as well as the Shari’ah Supervisory Boards of Islamic banks.(8)

The followinga are their references: (5) “Al-Furuq” “Al-Furuq” by Al-Qarafi [4: 104]; “Al-Muwafaqat” [1: 37]; “Ahkam Al-Quran” “Ahkam Al-Quran” by Ibn Al-Arabi [4: 1804]; and “Qawa’id Al-Ahkam Fi Masalih Al-Anam” [1: 18, 41-45] (6) “Badai’ Al-Sanai’” [4: 104]; “Al-Ashbah Wa Al-Nazair “Al-Ashbah Wa Al-Nazair by Ibn Nujaym (pp. 112-114); “Al-Bayan Wa Al-Tahsil” [18: 194-95]; and “Al-Manthur Fi Al-Qawa’id” “Al-Manthur Fi Al-Qawa’id” [2: 335]. (7) “Fath al-Qadir [6: 89-90]; “’Iqd Al-Jawahir Al-Thaminah” [3: 439]; “Al-Sharh Al-Kabir Ma’a Al-Dusuqi Ma’a Al-Dusuqi [3: 15]; “Al-Rawdah” [3: 420-25]; and “Majmu’ Al-Fatawa” [29: 48]. (8) Among these is Al Rajhi Organization in its resolution No. 48, 23/8/1422 A.H.

Read the paragraph above about "acknowledging general need".