This article not only contains Saiyantransformations from the original series but fan made transformations aswell. Keep in mind that not all transformations listed below could be true. They are pure estimates.
If some transformations are missing, its because they are completely unknown and almost impossible to estimate.
This is an official multiplier. It is taken from the Daizenshuu 7 of Dragon Ball. Source
MULTIPLIER: x50
In the Frieza vs. Goku battle on Namek, we get an official power levelstating that Goku was 150,000,000 in Super Saiyan. And his base power level was 3,000,000 and 3,000,000 x 50 is 150,000,000.
MULTIPLIER: x62.5
Super Saiyan Grade II multiplies the users Base Power by x62.5, or 5/4 the Super Saiyan Grade I State.
The Method of obtaining this is by taking Goku's Grade II Power of 1.05 Billion and dividing it by his Base Power of 16.8 Million.
MULTIPLIER: x75
This is not an official multiplier at. Though, Super Saiyan Grade III MUST be over a 75 multiplier at minimum as it is also believed by many to be 1.5 times stronger than Super Saiyan. The only reason why Trunks wasn’t able to defeat Cell with it is because of power stress. This power stress limited his speed and power output of the form.
MULTIPLIER: x100
This is an official multiplier. This form is officially stated to be 2 times stronger than Super Saiyan.
MULTIPLIER: x400
Officialy stated to be 4x stronger than Super Saiyan 2. Making it 8x stronger than regular Super Saiyan.
Super Baby 2 x16 stronger than ssj3 goku, goku ssj4 take a revenge death ball from Super Baby 2, and goku use small % of his power around 20%. Revenge Death Ball x3 stronger than Super Baby 2 but Goku in ssj4 just tanked it. So Goku in ssj4 x30 stronger than Super Baby 2.
MULTIPLIER: x4,000
Kamehameha can be 2.5x stronger than user so kamehameha x10 it's 25x stronger, When baby turn into golden great ape he just tanked kamehameha x10 to tank attacks you need to be x2 stronger than opponent, so Super Baby 2 went from x30 times weaker than ssj4 to x50 stronger than Great Ape. This make Golden Great Ape x1,500 times multiplier on top ssj3.
When a Saiyan is in rage, their power level doubles. And the Super Saiyan 2 transformation is technically 2 times the power of regular Super Saiyan because Gohan was in rage while in the Super Saiyan form. Trunks’ Super Saiyan 2 was marked as “enhanced” meaning he mastered it, rivaling the power of Super Saiyan 3 which is a 400 times multiplier. In the “Future” Trunks saga, or, Goku Black Saga, he achieved Super Saiyan Rage by, well, raging. But in his Super Saiyan 2 mastered form. And like I said, when a Saiyan is in rage, their power level is double the amount. And the multiplier for Trunks’ mastered Super Saiyan 2 is 400, and 2 times 400 is 800. Making Super Saiyan Rage an 800 times multiplier. Many would say that Super Saiyan Rage is as strong if not stronger than Super Saiyan Blue. But remember, even in Super Saiyan Rage, Trunks was still no match for Rose Goku Black.
MULTIPLIER: x10
This is technically Great Ape but in base form. The only reason why Broly was so strong is because of his rage with Wrathful increasing it even further to Super Saiyan Blue level.
MULTIPLIER: x500
Broly merged his Wrathful form with this Super Saiyan form. And with his already high base power level, this form made him even stronger. Surpassing Super Saiyan Blue Goku. Super Saiyan is a 50 mulitiplier and so, 50 x 10 is 500. Just like the Golden Great Ape form.
MULTIPLIER: x2,000
He was using his full power of his Super Saiyan C-Type along with Wrathful and achieved a 2000X over base multiplier. These multipliers are achieved by his Ikari State multiplier that is added to his 50X C-Type and 200X LSSJ.