SS Officer: Hans, have you looked at our caps recently? Hans: Our caps? SS Officer: They've got skulls on them. [pause] Hans- are we the baddies? - Waffen-SS

On paper an SS-Panzergrenadier division was organised and equipped in much the same manner as an equivalent Heer (Army) division, which consisted of two Panzergrenadier regiments supported by a Panzer battalion, an artillery regiment, a tank-hunter battalion, an assault gun battalion, an anti-aircraft battalion, a reconnaissance battalion, and a pioneer battalion.
The biggest difference was the amount of armour available. Whereas the Heer division has just one battalion, SS-Panzergrenadier divisions had an entire regiment and eventually, for a while, including a company of heavy Tiger tanks. Additionally, unlike the motorised army Panzergrenadier divisions, the Waffen-SS Panzergrenadier division included a full battalion mounted in armoured half-tracks. The only Heer division that was comparable to the organisation of an SS division was the elite Grossdeutschland division.

They were constantly in battle achieving a remarkable reputation for aggression and stamina in combat, but the constant combat came at a high cost in casualties. Additionally, thanks to their political connections, they enjoyed higher establishments of men and equipment.
Of the eight Waffen-SS divisions, four were SS-Panzergrenadier divisions: 1st ‘Liebstandarte SS Adolf Hitler’, 2nd ‘Das Reich’, 3rd ‘Totenkopf’, and 5th ‘Wiking’. Of the remaining four divisions the 4th ’Polizei’ operated as an infantry division, the 6th ‘Prinz Eugen’ and 7th ‘Nord’ Divisions were designated as Gerbirgs (Mountain) divisions, and the 8th ‘Florian Geyer’ was a cavalry division.

Other foreigners generally wore the uniform of the Waffen-SS, the combat arm of the SS, a reflection of Himmler's enthusiasm for broadening the available pool of 'Nordic' blood, as well as the Wehrmacht's reluctance to surrender large numbers of Germans of military age to the SS. Formally, some of these foreigners were not supposed to be foreign at all; they were Volksdeutsche, like the 17,000 Croatian Germans recruited or conscripted into the Prinz Eugen division, the 1,300 Danish Germans who volunteered to serve in the Wiking division and the Hungarian Germans who served in the Horst Wessel and Maria Theresa divisions. Residents of Alsace, Lorraine or Luxembourg who could claim two or more German grandparents were also offered Reich citizenship if they joined the Waffen-SS. From an early stage, however, non-Germans were also recruited, beginning with Dutchmen, Belgian Flemings, Danes and Norwegians in the summer of 1940. These nations were supposedly 'Germanic' or 'Nordic' in character, though there were also Waffen-SS recruits from Latin countries, notably Belgian Walloons. In all, these West European countries produced at most 117,000 men, not counting the tiny British Free Corps, made up of around fifty prisoners of war. Recruiting proved easier in Eastern Europe. May 1941 saw the formation of a Finnish legion, which proved to be a highly effective fighting force, followed by Latvian and Estonian division.