In order to implement the spirit of the government's document on "reducing staff and increasing efficiency", a factory in our city has reduced its staff by 350 in the first half of this year. 20% more than the number of downsizing in the first half of the year, how many employees did the factory have at the beginning of the year?
我市某工厂为执行政府关于"减员增效"的文件精神，今年上半年已减员350人，计划下半年减员数应占全厂年初总人数的(1/6)，下半年的减员数正好比上半年的减员数多20%，求这个厂年初共有多少职工？
<gadget id="calculator">20 / 100</gadget>
<output>1/5 = around 0.2</output>

<gadget id="calculator">1 + (1/5)</gadget>
<output>6/5 = around 1.2</output>

<gadget id="calculator">1 / 6</gadget>
<output>1/6 = around 0.166667</output>

<gadget id="calculator">(6/5) / (1/6)</gadget>
<output>36/5 = around 7.2</output>

<gadget id="calculator">350 * (36/5)</gadget>
<output>2_520</output>

<result>2_520</result>