Your recruiter sent you a CCAT link, you opened a practice set, and the first percentage question stopped you cold: “What percent is 7 of 35?” It is not a hard sum. The problem is that you have, on average, about 18 seconds per question, and reaching for long division burns most of that before you have even picked an answer. Percentages, ratios, and fractions are three of the most common shapes in the CCAT’s math section, and the good news is that all three yield to the same handful of mental math moves. This guide gives you that method, a conversion table you can memorize in an afternoon, and worked examples so you can watch it run. One quick clarification first: this is the Criteria Cognitive Aptitude Test from Criteria Corp, the workplace hiring test, not the Canadian Cognitive Abilities Test used for school gifted programs. Same acronym, different test.
Quick takeaways
- Percentages, ratios, and fractions are the same idea in three costumes. Learn to convert between them fast and one skill covers all three.
- The single most useful move is finding 1% of a number (shift the decimal two places left), because you can build any percentage from it.
- No calculator is allowed on the CCAT, but the numbers are chosen to be worked by hand with pen and paper (source: criteriacorp.com).
- Memorize a small table of benchmark fractions (1/8 = 12.5%, 1/6 = 16.7%, 3/8 = 37.5%) so you never compute them from scratch.
- Treat every ratio as a fraction: add the parts, find one part, then scale. Treat every fraction question as a conversion you do once.
- With roughly 18 seconds per question and no penalty for a wrong answer, estimate when the choices are far apart and guess when a problem fights you past 20 seconds.
How much of the CCAT is percentages, ratios, and fractions
The CCAT is 50 questions in 15 minutes, split across three domains: verbal reasoning, numerical reasoning, and spatial or abstract reasoning (administered by Criteria Corp). Numerical reasoning is one of those three domains, so math makes up roughly a third of the test. Inside that math third, percentages, ratios, proportions, and fractions are the workhorses. The Medium post that currently ranks first for “ccat percentage questions” is nothing but percentage problems, which tells you how central this one shape is to the section.
They matter for a second reason: this is where time quietly leaks. A pure calculation like “240 plus 180” is fast because the operation is obvious. A percentage or ratio question hides an extra step, converting the words into the right fraction, and the trap is spending your 18 seconds setting up the arithmetic instead of doing it. Criteria Corp is explicit that the math is basic algebra, proportions, and word problems, with no calculator and no advanced math required. So the difficulty is never the sum itself. It is doing the setup fast enough that the sum has time to happen.
The strategy here follows from that: stop deriving these numbers under pressure and start recognizing them. Someone who knows on sight that 3/8 is 37.5% is not smarter than someone who does not. They did the memorizing beforehand, so the test day version is recall, not calculation.
The one move that unlocks every percentage: find 1% first
Here is the building block the fast test-takers lean on. To find any percentage of a number, first find 1% of it, then multiply. Finding 1% is trivial: move the decimal point two places to the left. 1% of 1,250 is 12.50. 1% of 340 is 3.40. Once you have 1%, every other percentage is just a small multiplication.
Say you need 7% of 1,250. Find 1% (12.5), multiply by 7, and you get 87.5. No long multiplication, no calculator. Need 3% of 340? That is 3.4 times 3, which is 10.2. The 1% anchor turns an intimidating percentage into a one-step times table.
For the round percentages, a short ladder is even faster than the 1% move:
- 10%: move the decimal one place left. 10% of 240 is 24.
- 5%: take 10% and halve it. 5% of 240 is 12.
- 1%: move the decimal two places left. 1% of 240 is 2.4.
- 20%: take 10% and double it. 20% of 240 is 48.
- 15%: add 10% and 5%. 15% of 240 is 24 plus 12, which is 36.
- 25%: halve the number twice. 25% of 240 is 60.
- 50%: halve the number once.
Almost any percentage on the test can be assembled from these pieces. Need 35%? That is 25% plus 10%. Need 12%? That is 10% plus 1% plus 1%. You are never really computing a percentage. You are adding two or three friendly pieces you already know.
Memorize this conversion table once
The reason ratios, fractions, and percentages feel like three separate topics is that most people never internalize how they map onto each other. They are the same number written three ways. Spend one study session burning this table into memory and a whole category of questions becomes instant recognition instead of calculation.
| Fraction | Decimal | Percent |
|---|---|---|
| 1/10 | 0.1 | 10% |
| 1/8 | 0.125 | 12.5% |
| 1/6 | 0.167 | 16.7% |
| 1/5 | 0.2 | 20% |
| 1/4 | 0.25 | 25% |
| 1/3 | 0.333 | 33.3% |
| 3/8 | 0.375 | 37.5% |
| 1/2 | 0.5 | 50% |
| 3/5 | 0.6 | 60% |
| 2/3 | 0.667 | 66.7% |
| 3/4 | 0.75 | 75% |
The payoff shows up constantly. When a question says “37.5% of 800,” you do not reach for 1% times 37.5. You see that 37.5% is 3/8, so the answer is three-eighths of 800: 800 divided by 8 is 100, times 3 is 300. A messy-looking percent became one clean division. This is the trade at the heart of CCAT math: memorize a small set of facts in advance so that on test day you recognize instead of compute.
Two percentage shortcuts most people miss
The reversal trick: x% of y equals y% of x. If a question asks for 8% of 25, flip it: 25% of 8 is 2, and you are done. 8% of 25 is harder to picture than 25% of 8, but they are the exact same number. Another: 4% of 75 is awkward, but 75% of 4 is obviously 3. Whenever one side of a percentage is a friendly number like 25, 50, or 10, flip the problem so that friendly number becomes the percent.
“What percent is A of B” is just a fraction. The first-place SERP result opens with “What percent is 7 of 35?” The move is to write it as a fraction, 7/35, simplify, and convert. 7/35 reduces to 1/5, and 1/5 is 20% straight off your table. Percent-of-whole questions are conversion questions in disguise: build the fraction part over whole, reduce it, then read the percent. If 12 of 48 employees are in one department, that is 12/48, which is 1/4, which is 25%. No division marathon required.
Ratios: add the parts, find one part, then scale
A ratio question is a fraction question wearing a different hat. The reliable method is always the same three steps: add the parts to get the total, divide the quantity by that total to get the value of one part, then multiply back up for whatever the question asks.
Take a classic: “A budget of $180 is split between marketing and product in a 4:5 ratio. How much goes to product?” Add the parts: 4 plus 5 is 9. Find one part: 180 divided by 9 is 20. Scale: product is 5 parts, so 5 times 20 is $100. As a two-second check, marketing gets 4 times 20, which is $80, and 80 plus 100 is 180. It balances, so you are right.
Proportions work the same way through a single multiplier. “If 3 machines produce 12 units, how many do 7 machines produce?” Find the per-unit rate: 3 machines make 12, so 1 machine makes 4. Scale: 7 machines make 7 times 4, which is 28. You never need to set up cross-multiplication. Find what one unit does, then multiply.
And when a ratio needs to become a percentage or fraction, remember that a ratio of 3:4 means one part is 3 out of 7 total, or 3/7 of the whole. Every ratio hides a fraction with the sum of the parts as its denominator. Once you see that, ratios stop being a separate topic and fold back into everything above.
