Electoral system calculator
Calculator finds out number of seats in parliament using D'Hondts method.

# Beta version#

BETA TEST VERSION OF THIS ITEM
This online calculator is currently under heavy development. It may or it may NOT work correctly.
You CAN try to use it. You CAN even get the proper results.
However, please VERIFY all results on your own, as the level of completion of this item is NOT CONFIRMED.
Feel free to send any ideas and comments !

# Calculations data - electoral thresholds#

 Number of seats to assign Threshold for single party % Threshold for coalition %

 Name of the political option Number of votes Tick-up in case of coalition Votes as percentage [%] Above electoral threshold - - - - - - - - - - - - - - - - - - - -

# Result - seats in parliament#

 Total number of votes 0 Assigned seats in parliament

# Some facts#

• In parliamentary republic, citizens vote for their representatives, who then represent them in parliament.
• In the proportional system, the composition of the post-election parliament should reflect social groups among voters.
• The bigger group means more representatives in parliament.
• The D'Hondt method is an algorithm of allocating seats based on votes distribution.
• The algorithm of the D'Hondt method is as follows:
• 1. We remove groups that did not exceed the electoral threshold. For example, the threshold in Poland (as of 2019) is 5% for single parties and 8% for coalitions.
• 2. For each committee, we calculate successive weights by dividing the number of votes by successive natural numbers from 1 to the total number of seats to be filled in (for example the polish parliament has 460 seats):
$w_i = \dfrac{L}{i}$
where:
• $w_i$ - i-th weigh for given committee,
• $L$ - number of votes received by given committee,
• $i$ - consecutive natural numbers from 1 to the total number of seats to be filled.
• 3. We put all weights (with committees) on one list sorted in descending order.
• 4. We select n first entries from the list until all seats are assigned.
• ⓘ Example: Four committees A, B, C, D took part in the election. The number of seats to be filled to 8. The electoral threshold is 5%. The committees received successively:
• A - 720 votes (46.15%),
• B - 300 votes (19.23%),
• C - 480 votes (30.77%),
• D - 60 votes (3.85%).
Using the D'Hondt algorithm we get:
• 1. Committee D did not exceed the 5% electoral threshold. Committees A, B and C go to further steps.
• 2. We divide number of votes by successive natural numbers from 1 to 8. We get the following weights:
• committee A: 720, 360, 240, 180, 144, 120, 102, 90,
• committee B: 300, 150, 100, 75, 60, 50, 42, 37,
• committee C: 480, 240, 160, 120, 96, 80, 68, 60.
• 3. We place the received weights on one descending sorted list and select the first 8 committees:
• 1. 720 A,
• 2. 480 C,
• 3. 360 A,
• 4. 300 B,
• 5. 240 A,
• 6. 240 C,
• 7. 180 A,
• 8. 160 C.
• The number of seats won by given committees are:
• committee A won 4 seats,
• committee B won 1 seat,
• committee C won 3 seats,
• committee D has no any seats, because, it did not exceed the electoral threshold.

# Tags and links to this website#

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