Election mathematics

In elections, 12 political parties received this shares of voters:

party A 56.2 %
party B 8.5 %
party C 8.2 %
party D 6.2 %
party E 6.1 %
party F 5.5 %
party G 3.2 %
party H 2.1 %
party I 2 %
party J 1 %
party K 1 %


Calculate what the shares acquired in the parliament, if a quorum is 5%.

Correct result:

A =  62 %
B =  9.4 %
C =  9 %
D =  6.8 %
E =  6.7 %
F =  6.1 %
G =  0 %
H =  0 %
I =  0 %
J =  0 %
K =  0 %

Solution:

A=56.2 (100/(0+56.2+8.5+8.2+6.2+6.1+5.5+0+0+0+0+0))=62%A=56.2 \cdot \ (100/(0+56.2+8.5+8.2+6.2+6.1+5.5+0+0+0+0+0))=62 \%
B=8.5 (100/(0+56.2+8.5+8.2+6.2+6.1+5.5+0+0+0+0+0))=8500907=9.4%B=8.5 \cdot \ (100/(0+56.2+8.5+8.2+6.2+6.1+5.5+0+0+0+0+0))=\dfrac{ 8500 }{ 907 }=9.4 \%
C=8.2 (100/(0+56.2+8.5+8.2+6.2+6.1+5.5+0+0+0+0+0))=8200907=9%C=8.2 \cdot \ (100/(0+56.2+8.5+8.2+6.2+6.1+5.5+0+0+0+0+0))=\dfrac{ 8200 }{ 907 }=9 \%
D=6.2 (100/(0+56.2+8.5+8.2+6.2+6.1+5.5+0+0+0+0+0))=6200907=6.8%D=6.2 \cdot \ (100/(0+56.2+8.5+8.2+6.2+6.1+5.5+0+0+0+0+0))=\dfrac{ 6200 }{ 907 }=6.8 \%
E=6.1 (100/(0+56.2+8.5+8.2+6.2+6.1+5.5+0+0+0+0+0))=6100907=6.7%E=6.1 \cdot \ (100/(0+56.2+8.5+8.2+6.2+6.1+5.5+0+0+0+0+0))=\dfrac{ 6100 }{ 907 }=6.7 \%
F=5.5 (100/(0+56.2+8.5+8.2+6.2+6.1+5.5+0+0+0+0+0))=5500907=6.1%F=5.5 \cdot \ (100/(0+56.2+8.5+8.2+6.2+6.1+5.5+0+0+0+0+0))=\dfrac{ 5500 }{ 907 }=6.1 \%
G=0=0%G=0=0 \%
H=0=0%H=0=0 \%
I=0=0%I=0=0 \%
J=0=0%J=0=0 \%
K=0=0%K=0=0 \%



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