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I cannot make sense of this baker's math for this recipe..please help! Stuck!

Ogi the Yogi's picture
Ogi the Yogi

I cannot make sense of this baker's math for this recipe..please help! Stuck!

How do you derive at the pre-ferment flour percentage? 

Could someone help me figure this out, for this specific example 

Total dough weight: 1800g
Pre-fermented flour: 7.50% (how do you solve for this)? 
Hydration: 78% 
Yield: 2 x 900g loaves

Starter Formula:

40 g. bread flour        50%

40 g. ww flour            50%

80 g water                 100%

40 g starter (100%)   50%

Final Dough Formula:

748 g bread flour        82.43%

110 g ww flour            12.16%

49 g rye flour               5.41%

691 g water                 72.22%

18 g salt                      1.95%

184 g levain                 20.27%

Total Formula:

794 g bread flour        80%

156 g ww flour            16%

49 g rye                       5%

783 g water                78%

18 grams salt             1.8%

= 1800 dough weight!  

 I can't figure out how the recipe builder got 7.5% of preferment flour? 

What is the total amount of flour from which I should be working? I know this is a basic question but I would really appreciate the help!

andythebaker's picture
andythebaker

there is 80g of flour in the preferment, but we only use 184g of the 200g total levain, so just 73.6g of flour in the preferment

total flour weight is 980.6g (748g bread + 110g ww + 49g rye + the 73.6g in the preferment)

73.6g preferment / 980.6g total flour = .075, or 7.5% preferment flour percentage.

~a

 

suave's picture
suave

Why do you exclude 20 g. of flour in the starter? 

Ogi the Yogi's picture
Ogi the Yogi

this whole time, I got the recipe from https://www.theperfectloaf.com/beginners-sourdough-bread/

Ogi the Yogi's picture
Ogi the Yogi

how did you get 73.6g of flour in the preferment? 

I thought that it would be 92 grams of flour since we use 184 grams of levain (at 100% hydration) so half would be 92! 

Could you explain this mishap on my part! 

andythebaker's picture
andythebaker

so 92g of flour in the preferment.

total flour weight is 999g (748g bread + 110g ww + 49g rye + the 92g in the preferment)

92g / 999g = .091, so it should be 9.1% preferment.

although this is a fun exercise, and helps in formulating formulas, i personally do a lot of rounding so a few percentages here and there don't interfere with... the spirit of the bread.  (that's just me though).

Ogi the Yogi's picture
Ogi the Yogi

Could you still explain how you derived at 73.6 g of flour for the preferment? In your original post?

andythebaker's picture
andythebaker

since we're only using 184g of the 200g of levain, 184/200 is 92%.

so 92% of 80g is 73.6g.

(but of course, someone pointed out it should be 92% of 100g of flour (counting the flour in the starter used to make the levain)

Ogi the Yogi's picture
Ogi the Yogi

I guess the author of the recipe who calculated the original amount of prefermented flour at 7.5% didn't take starter into account?