▶ Practice this concept

🧱 See It

Remember the 100-square grid: 10 rows of 10, and percent just says how many squares are colored in. But what happens at the edges of that idea?

Smaller than one square: a bank account might pay 0.5% interest — less than half of just one of those 100 squares. It's a real percent, just a tiny sliver of the grid.

More than the whole grid: if something grows by 150%, that's more than all 100 squares — you need the whole first grid plus half of a second grid to show it.

✏️ Draw It

Two 100-square grids, side by side, show 150%: the first grid is completely colored (100%), and the second grid is half colored (50%).

First grid: fully colored = 100%. Second grid: half colored = 50%. Together: 100% + 50% = 150%.

🔢 Write It

The conversion rule never changes: drop the "%" and divide by 100.

0.5% = 0.5 ÷ 100 = 0.005

150% = 150 ÷ 100 = 1.5

A percent above 100 always converts to a decimal greater than 1. A percent below 1 always converts to a decimal smaller than 0.01. Same rule, same division — it just produces an unusually small or large decimal.

💡 Worked Examples

Example 1 — Find 0.5% of $200

  1. Turn the percent into a decimal: 0.5% = 0.005
  2. Multiply: 0.005 × 200 = 1.00
  3. Answer: $1.00

Example 2 — Find 150% of 40

  1. Turn the percent into a decimal: 150% = 1.5
  2. Multiply: 1.5 × 40 = 60
  3. Answer: 60

🧠 Quick Reference

The percent → decimal → multiply method NEVER changes, no matter how small or large the percent is. Below 1%? The decimal has extra zeros right after the point (0.005). Above 100%? The decimal is bigger than 1 (1.5).
👪 For Parents & Tutors

BC Curriculum (Level 3 / Grade 8, Number & Operations): "Work with percents (including decimals and fractions less than 1 and greater than 100)."

Watch for: assuming a percent must always be a "reasonable" number between 0 and 100, and getting thrown off when a problem produces 0.5% or 150%. Encourage trusting the same conversion method every time (divide by 100) rather than sanity-checking the result against an assumed range — the range assumption is exactly what breaks here.

Comes up again: this directly extends Level 1's Percents and Percentage Discounts, and connects to Level 2's Financial Percentage Calculations, where interest rates below 1% are common in real banking.