Proportion & Share

💡A share is the part divided by the total. To judge whether a share rose or fell, compare how fast the part grew against how fast the total grew.

Try it — find a share

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Part divided by total, as a percentage.

  1. 1

    Set up part over total

    820 / 3,300

  2. 2

    Divide

    = 0.25

  3. 3

    As a percentage

    × 100 = 24.85%

Share ≈ 24.85%

⏱️ Practice against the clock

A worked example

820 out of 3,300 is about a quarter, so roughly 25%. If the part later grows faster than the total, that share climbs.

It is just part over total

A share is the part divided by the total. 820 out of 3,300 is about a quarter, so near 25%. Quick way in: how many times does the part fit into the total? Fits about four times, so it is about a quarter.

Sizing up the fit beats dividing precisely, and for picking an answer it is all the accuracy you need.

Did the share go up or down?

You can answer without working out either share. Just compare the growth. If the part grew faster than the total, its slice got bigger. Slower, and it shrank.

That turns a fiddly comparison of two percentages into one plain judgement: which one grew quicker? Nine times out of ten, that is what the question was really after.

Questions people ask

How do I tell if a share went up without exact numbers?

Compare growth rates. If the part grew faster than the total, its share increased; if slower, it shrank. You never have to compute either share.

What is a fast way to estimate the share itself?

Ask how many times the part fits into the total. If it fits about four times, the share is roughly a quarter, or 25%.

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