assume这里意为“开始从事; 承担; 担任”，例如：
He assumes his new responsibilities next month. 他下月承担新任务.
The problem is beginning to assume massive proportions. 问题越来越大了.

2）He came away with 30 percent of the vote. 他获得了30%的投票。

come away with sth是常用短语，意为“（带着某种感觉﹑印象等）离开某地”，例如：
We came away with the distinct impression that all was not well with their marriage.
我们离去时有一种清楚的印象: 他们的婚姻并非十分美满.