A learner interprets a percent as a proportion out of 100 and estimates a percent of a quantity by relating it to familiar benchmarks such as 0%, 10%, 25%, 50%, 75%, and 100%, using equivalent fractions, decimals, or a percent number line. The reasoning includes choosing a nearby benchmark, combining benchmarks when useful, and judging whether an estimate is reasonable; it does not extend to advanced percent-change formulas or highly precise estimates for arbitrary percentages.
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A percent tells how many parts out of you have. To estimate a percent of a number, compare the percent to a familiar benchmark such as , , or .
Example: Estimate of .
Choose a nearby benchmark.
is close to .
Use the benchmark as a familiar fraction.
Since , find one-fourth of :
So, of is approximately
This is reasonable because is just a little less than , so the answer should be just a little less than one-fourth of .
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