Solve percent equations
key notes:
📌 What is a Percent?
Percent means “per 100” ✅
Example: 25% = 25 out of 100 = 25/100 = 0.25
📌 Percent Equation Formula
Part = Percent × Whole
Symbols: P = percent / 100×W
Example: 20% of 50 → 20 / 100 × 50 = 10 🎯
📌 Steps to Solve Percent Equations
Convert the percent to a decimal (divide by 100) 🔢
Write the equation using Part=Decimal×Whole
Solve for the unknown 💡
📌 Types of Problems
Find the Part:
30% of 200 = ? → 0.3 × 200 = 60 ✅
Find the Whole:
60 is 20% of what number? → 60=0.2×W → W=300 🎯
Find the Percent:
50 is what percent of 200? → percent = 50/200 × 100 = 25% 📊
📌 Tips & Tricks
Always convert % to decimal before calculating 🔄
Check your answer by reverse calculation 🔍
Use multiplication or division depending on what you are finding ✖️➗
💡 Quick Reminder:
Percent problems are all about fractions of 100 🌟
Practice makes it easy and fast 🏃♂️💨
Learn with an example
😀 What is 10% of 50?——
The whole is 50.
The percent is 10%.
Let n represent the part.
Write a proportion to solve for n.
n/50=10/100
100n=50 . 10
100n=500
n=500/100
n=5
10% of 50 is 5.
You could also find the answer by writing and solving an equation:
part=percent of whole
n=10% . 50
n=0.1 . 50
n=5
10% of 50 is 5.
😀 Fill in the missing number.
——–% of 30 = 21.
The part is 21.
The whole is 30.
Let n represent the percent.
Write a proportion to solve for n.
21/30=n/100
21 . 100=n .30
2100=30n
n=2100/30
n=70
70% of 30 = 21
You could also find the answer by writing and solving an equation:
part=percent of whole
21=n/100 . 30
21=30n/100
21 . 100=30n
2100=30n
n=2100/30
n=70
70% of 30 = 21
😀 Fill in the missing number.
10% of —— = 7.
The part is 7.
The percent is 10%.
Let n represent the whole.
Write a proportion to solve for n.
7/n=10/100
7 . 100=10 . n
700=10n
n=700/10
n=70
10% of 70 = 7
You could also find the answer by writing and solving an equation:
part=percent of whole
7=10% . n
7=0.1 . n
7=0.1n
7/0.1=0.1n/0.1
n=70
10% of 70 = 7
let’s practice!
