Officially Stated Multipliers
Super Saiyan God (超サイヤ人ゴッド) is a Super Saiyan transformation that surpasses Super Saiyan 3. Super Saiyan 3 Transformation copy pasta you're going to love this, trust me. What you're seeing now is my normal state. This is a super saiyan. This is what is known as a super saiyan that has ascended above a super saiyan. Or, you could just call this a super saiyan two. Super Saiyan God Super Saiyan God (超サイヤ人ゴッド) is a Super Saiyan form that goes even beyond Super Saiyan 3.
Oozaru: 10x base form
Kaioken: 2-100x base form
Super Saiyan: 50x base form
Super Saiyan 2: 100x base form (2x SSJ)
Super Saiyan 3: 400x base form (4x SSJ2)
Super Saiyan Rosé (Anime): 50x base form
Pseudo Super Saiyan: 50x base form
Super Saiyan Power: 2-50x base
Dragon Ball Super Saiyan God 3
Super Saiyan Grade III: 500x base form
Lowballed Estimations
Super Saiyan Kaioken: 100x base form
Super Saiyan Grade IV: 500x base form
Explanation: Stated to be the 'full release' of the Super Saiyan transformation, meaning it is stronger than Super Saiyan Grade III which is 500x base form.
Super Saiyan 2 (stacked on Grade IV): 1,000x Base form
Super Saiyan 3 (stacked on SSJ Grade IV): 4,000x Base Form
Legendary Super Saiyan: 5,000x base form
Explanation: Base Gohan was comparable to Super Saiyan Broly, yet when Gohan used his Super Saiyan 2 form, he was stomped by Legendary Super Saiyan Broly
Super Saiyan God: 160,000x base form
Explanation: In the Daizenshuu it is stated that Vegito's base form is greater than SSJ3 Goku. For the sake of downplaying, I equated Base Vegito to Buu Arc SSJ3 Goku. We know from DBS Episode 5 that Vegito would have no chance against Beerus even as a SSJ3.
400 x 400 = 160,000
Super Saiyan Blue: 8,000,000x base form (50x SSG)
Explanation: Goku states that SSB is the Super Saiyan version of Super Saiyan God in the Resurrection F and Potaefu Arcs. This is corroborated by Kafla turning Super Saiyan to match SSB Goku, whom was losing to Kafla as a SSG.
Super Saiyan Rage: 8,000,000x base
Explanation: This form allowed Trunks to fight on the level of SSB Goku, SSB Vegeta, Immortal Zamasu, and SSJ Rosé Black, so it must at least be equal to SSB in power if not greater due to the fact that Trunks' base form was weaker than Goku & Vegeta's, yet in their strongest forms they were all comparable to one another.
Super Saiyan Blue Kaiōken x2: 16,000,000x base form
Super Saiyan Blue Kaiōken x10: 80,000,000x base
Super Saiyan Blue Kaiōken x20: 160,000,000x base Installing cbk rgb01 lights.
Super Saiyan Blue Evolution: 160,000,000x base form (20x SSB)
Explanation: Vegeta's form is comparable to SSB KKx20 Goku or greater.
Ultra Instinct Omen: 160,000,000x base form (20x SSB)
Super Saiyan God 3 Goku
Explanation: We don't have a concrete number for UI's multiplier so I've lowballed to merely 20x SSB. This is horrendously downplayed, as SSB KKx20 Goku was completely pulverized by Jiren in episode 109 & had a better chance with UI in episode 110. It's also worth noting that UI causes the user to grow more powerful as the battle goes on.
Mastered Ultra Instinct: 320,000,000x base form (2x Ultra Instinct)
Super Saiyan God Episode 3
Explanation: It should be at least twice as strong as UI Omen due to being the perfected version of UI, and allowed Goku to defeat Full Power Jiren.