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A number pyramid with 500 on top, 300 and 200 below, and 175, 125 and 75 along the bottom, beside the cover of Escape the Bakery After Dark.

Field Notes

Baker's Percent: The Ratio Bakers Use, and the Pyramid It Hides

3 min read
  • Math in real life
  • Percent
  • Baking

Open a bread book and you may see a strange recipe: flour 100%, water 65%, salt 2%, yeast 1%. The total is more than 100, and nobody minds. This is baker's percent, and it is one of the most useful bits of everyday maths in the kitchen.

The one rule

In baker's percent, the flour is always 100%. Every other ingredient is a percent of the flour's weight, not of the whole dough. That is why the percents add up to more than 100.

Four bars: flour 100 percent, 500 grams; water 65 percent, 325 grams; salt 2 percent, 10 grams; yeast 1 percent, 5 grams.
A 500 g loaf of flour: every other ingredient is measured against it.

Turning percents into grams

  • Step 1. Weigh the flour: 500 g. That is 100%.
  • Step 2. Water is 65%. 65% of 500 is 0.65 × 500 = 325 g.
  • Step 3. Salt is 2%: 0.02 × 500 = 10 g. Yeast is 1%: 0.01 × 500 = 5 g.
  • Step 4. The dough weighs 500 + 325 + 10 + 5 = 840 g.

Why bakers love it

Want a bigger batch? Change the flour and every other number follows. With 800 g of flour the water is 0.65 × 800 = 520 g. The recipe, the ratio, stays the same. That is also why two bakers with different bowls can compare recipes at a glance.

Now the pyramid

Here is a small puzzle in the spirit of the Baker's Percent lock in Escape the Bakery After Dark. The top brick is the flour, 100%. A brick with a tag is that percent of the top brick. As always, every brick is the sum of the two below it. Our wall has a 500 g top, a 60% tag on the left of the middle row and a 25% tag on the middle of the bottom row.

The lock

Two tags and a top

Known: the top is 500 (100%). The left brick of the middle row is tagged 60%. The middle brick of the bottom row is tagged 25%.

Step 1

Use the first tag

60% of 500 is 0.6 × 500 = 300. The left brick in the middle row is 300.

Step 2

The other middle brick

The two middle bricks make 500, so the other one is 500 − 300 = 200. (That is 40%, and 60% + 40% = 100%.)

Step 3

Use the second tag

25% of 500 is 0.25 × 500 = 125. The middle bottom brick is 125.

Step 4

Subtract down

300 − 125 = 175 for the left brick. 200 − 125 = 75 for the right brick. Check: 175 + 125 = 300 and 125 + 75 = 200.

How a page looks in the book

A chamber page of Escape the Bakery After Dark on the Flour Loft floor: a drawn door, the lock rules, an empty pyramid and a Next Door box.
A chamber page, as printed.

A low-resolution page from Escape the Bakery After Dark, so you can see the layout. Nothing on it is solved.

Books mentioned

Escape the Bakery After Dark cover

Escape the Bakery After Dark

A puzzle adventure gamebook with 45 puzzle doors in 9 rooms and 14 kinds of lock. The math puzzles are the main course; the 10 vegan bread recipes in the back are a bonus for the oven, not part of the puzzles.

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