There are first, second and third prizes in a certain mathematics competition. It is known that: ①The number of first prize winners from schools A and B is equal; ②The ratio of the number of first prize winners from school A to the total number of award winners in the school and the corresponding percentage from school B is 5:6; ③A and B The total number of people who won the second prize from the two schools B accounted for 20% of the total number of winners from the two schools; ④ the number of people who won the third prize from school A accounted for 50% of the number of winners from this school; ⑤ the number of people who won the second prize from school A was 4.5 times the number of second prize winners. Then, what is the percentage of the number of people who won the first prize in school B to the total number of winners in the school?
某次数学竞赛设一、二、三等奖．已知：①甲、乙两校获一等奖的人数相等；②甲校获一等奖的人数占该校获奖总人数的百分数与乙校相应的百分数的比为5：6；③甲、乙两校获二等奖的人数总和占两校获奖人数总和的20%；④甲校获三等奖的人数占该校获奖人数的50%；⑤甲校获二等奖的人数是乙校获二等奖人数的4.5倍．那么，乙校获一等奖的人数占该校获奖总人数的百分数等于多少？
<gadget id="calculator">6 + 5</gadget>
<output>11</output>

<gadget id="calculator">6 / 11</gadget>
<output>6/11 = around 0.545455</output>

<gadget id="calculator">50 / 100</gadget>
<output>1/2 = around 0.5</output>

<gadget id="calculator">(6/11) * (1/2)</gadget>
<output>3/11 = around 0.272727</output>

<gadget id="calculator">4.5 / 5.5</gadget>
<output>0.818182</output>

<gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>

<gadget id="calculator">0.818182 * (1/5)</gadget>
<output>0.163636</output>

<gadget id="calculator">(6/11) - (3/11) - 0.163636</gadget>
<output>0.109091</output>

<gadget id="calculator">11 / 6</gadget>
<output>11/6 = around 1.833333</output>

<gadget id="calculator">6 / 5</gadget>
<output>6/5 = around 1.2</output>

<gadget id="calculator">0.109091 * (11/6) * (6/5)</gadget>
<output>0.24</output>

<result>0.24</result>