#### tonton-des-bois

##### Illusionist

How the culture bonus is calculated has been asked some times on this forum... I found the maths on the Beta forum...

The maths were hard to find because some values are rounded that leads to "steps" in the values...

Below 100, no rounding

From 100 & below 1,000, rounded to closest 10 (654 rounded to 650, 655 rounded to 660)

From 1,000 & below 10,000, rounded to closest 100 (2,649 rounded to 2,600, 2,650 rounded to 2,700)

From 10,000 & below 100,000, rounded to closest 1,000 (45,499 rounded to 45,000, 45,500 rounded to 46,000)

From 100,000, rounded to closest 10,000

Add the rounded "Working population" to the rounded "Required culture" from the population & culture popups.

= rounded
+ rounded

= ______ 150,000 __________________+ _______ 120,000

= 270,000

The "Required for" culture is the Available culture (Total culture - Required culture) + the Neighbourly Help

- Required for 125% production, Available + NH is 20% of the sum (from 1.)

- Required for 150% production, Available + NH is 40% of the sum (from 1.)

- Required for 160% production, Available + NH is 60% of the sum (from 1.)

- Required for 170% production, Available + NH is 80% of the sum (from 1.)

The "Required for" is also rounded (see above)

Working population : 617, rounded to 620

Required culture : 402, rounded to 400

Sum : 1,020

Required for 125% production : 20% of 1,020 = 204, rounded to 200

Required for 150% production : 40% of 1,020 = 408, rounded to 410

etc

Working population : 145,515, rounded to 150,000

Required culture : 122,653, rounded to 120,000

Sum : 270,000

Required for 125% production, 20% of 270,000 = 54,000, rounded to 54,000

Required for 150% production, 40% of 270,000 = 108,000, rounded to 110,000

etc

The maths were hard to find because some values are rounded that leads to "steps" in the values...

**Rounding**Below 100, no rounding

From 100 & below 1,000, rounded to closest 10 (654 rounded to 650, 655 rounded to 660)

From 1,000 & below 10,000, rounded to closest 100 (2,649 rounded to 2,600, 2,650 rounded to 2,700)

From 10,000 & below 100,000, rounded to closest 1,000 (45,499 rounded to 45,000, 45,500 rounded to 46,000)

From 100,000, rounded to closest 10,000

1. Sum of Working population & Required culture1. Sum of Working population & Required culture

Add the rounded "Working population" to the rounded "Required culture" from the population & culture popups.

= rounded

= ______ 150,000 __________________+ _______ 120,000

= 270,000

**2. "Required for" calculation**The "Required for" culture is the Available culture (Total culture - Required culture) + the Neighbourly Help

- Required for 125% production, Available + NH is 20% of the sum (from 1.)

- Required for 150% production, Available + NH is 40% of the sum (from 1.)

- Required for 160% production, Available + NH is 60% of the sum (from 1.)

- Required for 170% production, Available + NH is 80% of the sum (from 1.)

The "Required for" is also rounded (see above)

**(begining Chapter II)**

Example 1, my account on Beta :Example 1, my account on Beta :

Working population : 617, rounded to 620

Required culture : 402, rounded to 400

Sum : 1,020

Required for 125% production : 20% of 1,020 = 204, rounded to 200

Required for 150% production : 40% of 1,020 = 408, rounded to 410

etc

**(Halflings finished, awaiting Elementals)**

Example 2, my account on Arendyll :Example 2, my account on Arendyll :

Working population : 145,515, rounded to 150,000

Required culture : 122,653, rounded to 120,000

Sum : 270,000

Required for 125% production, 20% of 270,000 = 54,000, rounded to 54,000

Required for 150% production, 40% of 270,000 = 108,000, rounded to 110,000

etc

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