📚 Practice With Worksheets
Practice finding the part, whole, or percent using percent proportions, ratio tables, and part-to-whole relationships.
▶️ Learn With Videos
Review how ratio tables and proportions connect the part, whole, and percent in different percent problems.
🛠️ How to Use This Tool
Choose whether to find the part, whole, percent, or use a mixed set of problems. Complete the missing value directly in the ratio table and check your answer.
Compare the Situation column with the Percent column. In both columns, the top value is the part and the bottom value is the whole.
Click the multiplier to reveal or hide the scale factor and corresponding equation. Use Flip Direction to view the same proportional relationship in reverse.
🧠 Things to Notice
The part-to-whole relationship stays consistent in every representation: the ratio table, equivalent proportion, multiplier, and equation.
The percent column always compares a part to a whole of 100. The situation column shows the corresponding values from the problem.
A part may be less than, equal to, or greater than the whole. When the part is greater than the whole, the percent is greater than 100%.
📘 Vocabulary
Percent: A ratio that compares a quantity to 100.
Ratio: A comparison of two quantities.
Ratio Table: A table used to organize equivalent ratios.
Proportion: An equation stating that two ratios are equivalent.
Equivalent Ratios: Ratios that represent the same relationship.
Part: The quantity being compared to the whole.
Whole: The total amount being referenced.
Scale Factor: A number used to multiply or divide both values in a ratio to create an equivalent ratio.
Reciprocal: The multiplicative inverse of a number. For example, the reciprocal of 4 is \(\frac{1}{4}\).
Multiplier: The number used to move from one equivalent ratio to another.
📐 Percent Ratio Table Structure
A percent problem can be modeled by setting the situation ratio equal to the percent ratio.
\(\frac{\text{part}}{\text{whole}}=\frac{\text{percent}}{100}\)
The order must remain consistent: part over whole in the situation ratio and part over whole in the percent ratio.
\(\frac{\text{situation part}}{\text{situation whole}}=\frac{\text{percent part}}{\text{percent whole}}\)
Moving from one equivalent ratio to the other requires multiplying or dividing both values by the same scale factor. Reversing direction uses the reciprocal scale factor.
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