A political party survey and the number of people in it

Question

There are 6 major political parties in a country. An organization conducted a survey for these 6 major political parties to see what people are going to vote for. The results of the survey, in percentage terms, are as follows:

Parties
Percentage (%)

PP1
13.5

PP2
15.2

PP3
35.7

PP4
20.4

PP5
8.1

PP6
4.3

Not Sure
2.8

In their calculation, they rounded percentages up or down to nearest tenth (1 decimal place) as seen above and out of blue you start to wonder at least how many people they may survey to get these percentages.

What is the least number of people they survey to have these rounded percentages?

and

Choose your own 1 decimal percentages (as shown above) to maximize the least number of people a organization to survey?

P.S.: A real life question :)

Cardinal · Accepted Answer

This feels like a math problem more than a math puzzle.
Part 1

Part 2

Part 1 by brute force

Method

Part 2: Credit to Bubbler's answer for providing the logic. I thought I had a better number, but the rounding could be simplified.

Retudin · Answer

Answer to part 2:

When:

Why:

Simple example:

Bubbler · Answer

Part 2 answer:

Reason:

A political party survey and the number of people in it

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