Find what percent one number is of another: word problems
key notes :
What is Percent?
- Percent (%) means “per hundred”.
- Example: 25% = 25 out of 100. 🎯
The Formula to Find Percent ✅
Percent = Part / Whole × 100
- Part = the number you want to find the percent of
- Whole = the total or reference number
- Multiply by 100 to get the percent. 💯
Step-by-Step Method for Word Problems 📝
- Identify the “Part” (the smaller number).
- Identify the “Whole” (the bigger number or total).
- Use the formula: (Part ÷ Whole) × 100
- Write the answer with %.
Examples 🌈
- Example 1: Out of 50 students, 15 are girls. What percent are girls? \frac{15}{50} \times 100 = 30\% \] 👩🎓
- Example 2: A shop sold 60 chocolates out of 200. What percent were sold? \frac{60}{200} \times 100 = 30\% \] 🍫
Tips & Tricks 💡
Always check which number is the part and which is the whole. 🔍
If the answer is a decimal, round it to 2 decimal places if needed. ✨
Word problems often use phrases like:
- “What percent of…”
- “Find the percentage of…”
- “How much percent…?” 🧐
Fun Emoji Memory Aid 🎨
P ÷ W × 100 = %
- P = Part 🟢
- W = Whole 🔵
- ×100 = Make it out of 100 🔴
Learn with an example
Gwen has a new beaded necklace. 1 out of the 5 beads on the necklace is blue. What percentage of beads on Gwen’s necklace are blue?
Write your answer using a percent sign (%).——-
Find what percentage 1 is of 5. The part is 1.
The whole is 5.
Let n represent the percent.
Write a proportion to solve for n.
1/5=n/100
1.100=5n
100=5n
n=100/5
n=20
20% of the beads on Gwen’s necklace are blue.
You could also find the answer by writing and solving an equation:
part=percentage of whole
1=n/100.5
1=5n/100
1.100=5n
100=5n
n=100/5
n=20
20% of the beads on Gwen’s necklace are blue.
There are 50 seats on a train. 10 of the seats are empty. What percentage of the seats on the train are empty?
Write your answer using a percent sign (%).——–
Find what percentage 10 is of 50. The part is 10.
The whole is 50.
Let n represent the percent.
Write a proportion to solve for n.
10/50=n/100
10.100=50n
1000=50n
n=1000/50
n=20
20% of the seats on the train are empty.
You could also find the answer by writing and solving an equation:
part=percentage of whole
10=n/100.50
10=50n/100
10.100=50n
1000=50n
n=1000/50
n=20
20% of the seats on the train are empty.
Lexi has a new beaded necklace. 54 out of the 60 beads on the necklace are blue. What percentage of beads on Lexi’s necklace are blue?
Write your answer using a percent sign (%).———-
Find what percentage 54 is of 60. The part is 54.
The whole is 60.
Let n represent the percent.
Write a proportion to solve for n.
54/60=n/100
54.100=60n
5400=60n
n=5400/60
n=90
90% of the beads on Lexi’s necklace are blue.
You could also find the answer by writing and solving an equation:
part=percentage of whole
54=n/100.60
54=60n/100
54=0.6n
54/0.6=0.6n/0.6
n=90
90% of the beads on Lexi’s necklace are blue.
let’s practice!
