Square Percentage

What percentage of the integers between 1 and 10,000 are square numbers?
Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving
Being curious Being resourceful Being resilient Being collaborative


What percentage of the integers $1$, $2$, $3$, ... $9999$, $10000$ are square numbers?

If you liked this problem, here is an NRICH task that challenges you to use similar mathematical ideas.