Percent Problems (Percent Of, Percent Change)

Why This Matters for Nursing: Calculating percent change in vital signs, determining what percent of patients responded to treatment, or figuring out percent concentration of medications—percent problems are everywhere in healthcare.

What You Need to Know

There are three main types of percent problems:

Finding a percent of a number: "What is 15% of 80?"
Finding what percent one number is of another: "12 is what percent of 48?"
Percent change: "Price went from $50 to $65. What's the percent increase?"

🧠 Memory Trick

The word "OF" means MULTIPLY

"What is 25% OF 80?" → 0.25 × 80

"IS over OF equals PERCENT over 100"

Set up a proportion: Part/Whole = Percent/100

Type 1: Finding a Percent of a Number

"What is 20% of 150?"

Method:

Convert percent to decimal: 20% = 0.20
Multiply: 0.20 × 150 = 30

Formula:

Part = Percent × Whole

📚

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← Fraction ↔ Decimal ↔ Per… Ratios & Proportions →

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Percent Problems (Percent Of, Percent Change)

What You Need to Know

🧠 Memory Trick

Type 1: Finding a Percent of a Number

Method:

Formula:

This guide continues with worked examples, practice problems & a quiz

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Topics

Watch First — Percent Word Problems - Organic Chemistry Tutor

Percent Problems (Percent Of, Percent Change)

What You Need to Know

🧠 Memory Trick

Type 1: Finding a Percent of a Number

Method:

Formula:

This guide continues with worked examples, practice problems & a quiz

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