Majority & Coalition Builder
Toggle parties below into Government to test if they command 50% + 1
Majority Secured
0 / 0
Seats for Majority: 51
Government: 55 seats Needed: 51 Opposition: 45 seats
Party Seating Chart
Proportional seating arranged from Left to Right
100 Total Seats
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Plurality Leader
Hover or tap any dot in either hemicycle to inspect party and seat number.
Parties, Vote Percentages & Coalition Membership Assign % number to each party; seats calculate instantly.
Party & Color Vote Share (%) Seats % Seats Coalition Role Action
Total Percentage: 100.0%
Allocated Seats: 100 / 100

How Parliament Seating & Majority Math Works

In parliamentary democracies, legislators sit in concentric semicircular rows called a hemicycle. Governing power requires commanding a working majority: at least 50% + 1 seat of the total legislative body.

Hare Quota (Largest Remainder)

Divides total valid votes by total seats to establish the exact quota per seat. Parties receive seats for each whole quota earned; leftover seats are awarded to parties with the largest mathematical remainder.

D'Hondt Quotient Rule

Iteratively divides each party's vote total by (1, 2, 3... s+1) where s is currently won seats. The highest quotient in each round wins the next seat, slightly favoring larger established blocs.

Coalition Building & Margin

When no single party wins an outright 50% + 1 majority (a "hung parliament"), parties must form a formal coalition or confidence-and-supply agreement to form a government.