Expressing one quantity as a percentage of another (e.g., 'What percentage is 15 out of 60?'), the inverse of finding a percentage of an amount.
Where your child meets this in real life: Calculating test scores as percentages, working out what fraction of budget was spent, success rates
SEAGReady breaks express one quantity as a percentage into 3 steps, taught in order so each skill builds on the last.
Master express as percentage using equivalent fractions skills
Master express as percentage using division skills
Master express as percentage with decimal answer skills
Three free sample questions from our express one quantity as a percentage course. Every question comes with a full explanation, and hints that guide without giving the answer away.
Sean scored 19 out of 25 in his history test. What percentage did he score?
Answer: A. 76%
Step 1: Write as a fraction: 19/25 Step 2: Convert to hundredths (multiply top and bottom by 4) 19/25 = 76/100 Step 3: Hundredths give us the percentage directly 76/100 = 76%
Stuck? Start here: Write the score as a fraction first: 19/25
Declan got 15 questions correct out of 30 on his geography test. What percentage did he get correct?
Answer: A. 50%
Step 1: Divide the part by the whole 15 divided by 30 = 0.5 Step 2: Multiply by 100 0.5 x 100 = 50% Declan scored 50%.
Stuck? Start here: To express as a percentage, divide the part by the whole first
Oisin's rugby team won 8 of their 15 matches this season. What percentage of matches did they win? Give your answer to 1 decimal place.
Answer: A. 53.3%
Step 1: Divide the part by the whole 8 divided by 15 = 0.5333... Step 2: Multiply by 100 0.5333... x 100 = 53.33... Step 3: Round to 1 decimal place 53.33... rounds to 53.3%
Stuck? Start here: Divide wins by total matches: 8 divided by 15
This is the exact interactive worked example your child sees in SEAGReady. Step through it and watch the method build up.
Caitlin scored 17 out of 25 in her spelling test.
What percentage did she score?
17 out of 25 = ?%
Step 1 of 4
Caitlin scored 17 out of 25 in her spelling test.
What percentage did she score?
Caitlin scored 68% in her spelling test.
The key insight: If you can make the denominator 100, the numerator IS the percentage!
Watch out: 17 out of 25 = 17%. You can't just use the first number. Convert to hundredths first: 17/25 = 68/100 = 68%.
These are the misconceptions we see most often in express one quantity as a percentage, including the ones our practice questions are specifically designed to catch.
Struggling with express one quantity as a percentage? The real gap is often in one of these earlier topics.
SEAGReady finds the exact step where your child gets stuck, teaches it with worked examples like the one above, and brings it back for review so it sticks.