You're staring at a receipt. Now, or a test score. Or a discount tag that says "42 out of 60" and you need to know — quickly — what that actually means in percentage terms.
Here's the short answer: 70%.
But if you only wanted the number, you'd have punched it into a calculator and moved on. Think about it: you're here because you want to understand how to get there, why it works, and how to do it next time without guessing. So fair enough. Let's walk through it.
What Is a Percentage, Really?
We throw the word around constantly — "20% off," "80% chance of rain," "I'm 100% done with this meeting." But strip away the % symbol and a percentage is just a fraction with a denominator of 100.
That's it.
"Percent" comes from the Latin per centum* — per hundred. Or 0.Worth adding: or 70/100. So 70% literally means 70 out of 100. 70 in decimal form.
When you ask "what percent of 60 is 42," you're really asking: if 60 were scaled up (or down) to 100, what would 42 become?
The Core Formula
Every percentage problem boils down to one relationship:
Part ÷ Whole = Decimal → × 100 = Percentage
In your case:
- Part = 42
- Whole = 60
So: 42 ÷ 60 = 0.7 → 0.7 × 100 = 70%
That's the engine under the hood. Everything else is just a different way to drive it.
Why This Calculation Shows Up Everywhere
You'd be surprised how often "what percent of X is Y" appears in daily life. Not just in math class.
Grades and Test Scores
A student gets 42 points on a 60-point quiz. Parents, teachers, and the student all want to know: how'd I do?* 70% — a solid C, depending on the scale.
Sales and Discounts
A jacket originally priced at $60 is marked down to $42. What's the discount?
60 − 42 = 18 dollars off.
18 ÷ 60 = 0.3 → 30% off.
Same numbers, flipped perspective.
Business Metrics
Your team closed 42 deals out of 60 qualified leads. Conversion rate? 70%.
Your website had 60,000 visitors and 42,000 signed up. Sign-up rate? 70%.
Health and Fitness
You hit 42 grams of protein against a 60-gram target. You're at 70% of goal.
Heart rate zones, macro splits, step goals — percentages everywhere.
The numbers change. The question doesn't.
How to Calculate It — Three Ways That Work
You don't need to memorize a different method for every scenario. Pick the one that clicks for you.
Method 1: Straight Division (Fastest for Calculators)
Part ÷ Whole × 100
42 ÷ 60 = 0.7
0.7 × 100 = 70
Done. Which means this is how most people do it on a phone calculator. Type 42 ÷ 60 × 100 = and you're there.
Method 2: Fraction Simplification (Best for Mental Math)
Write it as a fraction first: 42/60
Now simplify. Both divisible by 6?
42 ÷ 6 = 7
60 ÷ 6 = 10
So 42/60 = 7/10
And 7/10 as a percentage? That's 70/100 = 70%.
This method shines when the numbers share obvious factors. 42 and 60 are both even (divide by 2 → 21/30), both divisible by 3 (→ 7/10). If you spot the 6, you're done in seconds.
Method 3: Proportion Setup (The "School Way")
Set up a proportion with x as the unknown percentage:
42/60 = x/100
Cross-multiply:
42 × 100 = 60 × x
4200 = 60x
x = 4200 ÷ 60 = 70
It's overkill for simple problems but essential when the unknown isn't* the percentage — like "70% of what number is 42?" (Answer: 60). Same math, different arrangement.
Common Mistakes (And How to Avoid Them)
I've seen smart people trip on these. You probably have too.
Mixing Up Part and Whole
"What percent of 60 is 42?" → Whole = 60, Part = 42
"What percent of 42 is 60?" → Whole = 42, Part = 60 → 142.8%
The phrase "of" signals the whole. "Is" signals the part. Swap them and your answer is upside down.
Forgetting to Multiply by 100
42 ÷ 60 = 0.7
If you stop there and say "0.7%," you're off by a factor of 100.0.7 is the decimal*. 70% is the percentage*. They're not the same thing.
Rounding Too Early
Say the numbers were 41/60.41 ÷ 60 = 0.68333...
Round to 0.68 → 68%
Actual: 68.33% → 68.3% (one decimal) or 68% (nearest whole)
Round at the end, not the middle. Your calculator keeps the decimals. Let it.
Confusing Percentage Points with Percent Change
If a rate goes from 60% to 70%, that's a 10 percentage point increase — but a 16.7% increase relative to the original 60.
Different concepts. Different words. Don't blur them.
Practical Tips You'll Actually Use
The "10% Anchor" Trick
Need a quick estimate? Find 10% first, then scale.
10% of 60 = 6
42 is 7 × 6 → so 42 is 7 × 10% = 70%
Works beautifully when the part is a clean multiple of 10% of the whole. 42 and 60? Perfect.
For more on this topic, read our article on how do you turn a percentage into a number or check out how do you change a percent to a whole number.
The "Half and Quarter" Shortcut
50% of 60 = 30
25% of 60 = 15
75% of 60 = 45
42 sits between 30 and 45 — closer to 45. 70% fits. So the answer is between 50% and 75%, nearer to 75%.
Good sanity check.
Use Your Phone's Built-In Tools
- iOS: Swipe down for Spotlight, type `
Use Your Phone’s Built‑In Tools
iOS
- Swipe down from the top‑right of any screen to open the Spotlight Search.
- Type
percentage calculator(or simplycalc). - Tap the Calculator widget that appears at the top of the results.
- In the calculator’s input field, enter
42 ÷ 60 × 100(or42/60*100). - The result shows 70, which you can instantly interpret as 70 %.
If you prefer a quick one‑liner, you can also invoke Siri: “Hey Siri, what percent of 60 is 42?” and she’ll reply “70 percent.”
Android
- Swipe up on the home screen to reveal the app drawer, then open Google (or any search widget).
- Tap the search bar and type
42/60 * 100. - The search results will display a calculator card at the top; tap it and you’ll see 70.
- For voice assistance, say “OK Google, 42 out of 60 as a percentage?” and listen to the answer.
Web & Desktop
- Google Search works everywhere: just type
42 divided by 60 as a percentageand the snippet will give you 70 %. - Most browsers have a built‑in calculator (e.g., Chrome →
?→Calculate). Enter42 ÷ 60 × 100for an instant result. - If you use Microsoft Edge, the address bar doubles as a calculator; type the expression directly.
These shortcuts eliminate the need to open a separate app, letting you get the answer in a single tap or voice command.
Bringing It All Together
Whether you’re juggling a quick budget check, verifying a discount, or just sharpening your mental math, the ability to turn “42 out of 60” into “70 %” is a tiny skill with huge payoff.
Remember the three core approaches:
- Direct multiplication for a fast calculator result.
- Fraction simplification when the numbers share obvious common factors.
- Proportion setup for more complex “what‑percent‑of‑what” problems.
Avoid the common pitfalls—mixing up part and whole, forgetting the × 100 step, rounding too early, or conflating percentage points with percent change—and you’ll stay accurate even under pressure.
Finally, let your device do the heavy lifting. The built‑in calculators on iOS, Android, and the web are designed for exactly these moments, delivering results in a fraction of a second.
Bottom line: Mastery of percentage calculations blends a solid conceptual foundation with the convenience of modern tools. Practice the mental shortcuts, keep the device tricks handy, and you’ll tackle any “what percent” question with confidence. Happy calculating!
Appendix: Quick‑Reference Cheat Sheet
| Scenario | Formula | Example (42 of 60) | Mental Shortcut |
|---|---|---|---|
| Standard “Part of Whole” | (Part ÷ Whole) × 100 |
(42 ÷ 60) × 100 = 70% |
Simplify fraction first: 42/60 → 7/10 = 70% |
| Find the Part | (Percent ÷ 100) × Whole |
70% of 60 = 0.7 × 60 = 42 |
10% = 6 → 70% = 7 × 6 = 42 |
| Find the Whole | Part ÷ (Percent ÷ 100) |
`42 is 70% of what? → 42 ÷ 0. |
Keyboard Shortcuts for Power Users
| Platform | Shortcut | Action |
|---|---|---|
| macOS | ⌘ + Space → type math |
Instant Spotlight calculation |
| Windows | Win + Q → type math |
Bing/Windows Search calculator |
| Chrome/Edge | Ctrl + L → type math |
Omnibox calculator (no Enter needed) |
| iOS | Swipe Down (Home) → type math | Spotlight widget |
| Android | Long-press Home / “Hey Google” | Assistant calculator card |
One Final Pro Tip: The “1% Method”
When numbers don’t* simplify cleanly (e.g., 37 out of 68), find 1% first:
- Divide the whole by 100 →
68 ÷ 100 = 0.68(this is 1%). - Divide the part by that 1% value →
37 ÷ 0.68 ≈ 54.41%.
It turns a two-step multiplication into two simple divisions—often faster on a basic calculator keypad.
Keep this cheat sheet bookmarked. The next time a percentage question pops up—whether it’s a tip split, a grade calculation, or a sales metric—you’ll have the formula, the mental model, and the device shortcut ready to go.