Counts show all available guides. Filters combine to narrow your results.
Simplify a complex taskGuide
Explain the difference between a percent change and percentage points
Calculate the absolute rate gap and the relative change using different denominators.
Illustrative resourceNot tool-testedAdults working with non-sensitive percent change information
What you’re working towards
Two correctly labeled calculations from the same before-and-after rate, with a plain-language explanation and denominator check. This is an authored practice example; no consumer AI run has been recorded.
Your choice also saves this guide’s current worked-example checkmarks. Only this browser; no account or sync. View saved guides
Saving needs JavaScript. Reading and downloading this guide does not save it.
Make a start
One step at a time.
2 steps
Start with the synthetic worked example or other non-sensitive inputs. Run one prompt at a time in your chosen AI tool. Replace any bracketed placeholders with the requested material, check each reply, and supply the source or earlier outputs that step needs. Paste them again if the tool lacks that context.
Start with the synthetic example, then adapt each prompt to your task.
01
Try the complete example
Open a new chat in a text AI assistant you already have permission to use. Paste all of Input from this guide, then the prompt below, in one message. Do not paste Output: that is the illustrative answer for comparison. Expect a written result that will calculate the absolute rate gap and the relative change using different denominators. Different wording is fine; the source facts and rules must agree. Check it yourself: A is 20%, B is 30%, and the difference is +10 percentage points. The relative calculation divides 0.10 by the old rate 0.20, yielding +50%, not +10%. No cause, same-person cohort claim or forecast is added. If a check fails, paste: “This part is wrong: [quote it]. My source says: [quote the exact line]. Return the complete corrected result and explain the change.” Recheck before saving; if the source itself is incomplete, keep that part unresolved.
Your starting prompt
Explain the two attendance rates, percentage-point change and relative percentage change from the earlier to later session. Show each denominator and formula, then write one correctly labeled sentence. Keep counts separate from rates, use the supplied zero-baseline rule and add no causal explanation.
Use only the complete synthetic input pasted above. Return the finished written result. Keep missing facts unknown. Do not send, publish, order or change another service.
02
Use your own input
For your own version, open a new chat. Paste the prompt below after replacing every bracketed field. Replace related IDs, quantities, dates, rules and limits together; none of the practice facts carries over. Expect the same named deliverable using your source. Review it yourself: recompute (new rate − old rate) and divide that difference by the old rate separately; do not claim a cause. If a check fails, paste: “This part is wrong: [quote it]. My source says: [quote the exact line]. Return the complete corrected result and explain the change.” Recheck before saving; if the source itself is incomplete, keep that part unresolved.
Your starting prompt
Calculate old and new rates from my supplied data, their percentage-point difference and the relative percentage change using the old rate as denominator. Show formulas and units, check comparable definitions and populations, and follow my zero-baseline rule without dividing by zero. Write a clear sentence and keep causes, predictions and unsupported comparisons out.
MY INPUT
Old and new rates: [replace with your own complete non-sensitive details, or state unknown]
What each rate measures: [replace with your own complete non-sensitive details, or state unknown]
Population/time comparability: [replace with your own complete non-sensitive details, or state unknown]
Desired wording: [replace with your own complete non-sensitive details, or state unknown]
Zero-baseline rule: [replace with your own complete non-sensitive details, or state unknown]
Use only MY INPUT for facts and constraints. Ask for an essential missing fact or conflicting rule before deciding; do not import practice-example names or numbers. Return the complete result plus unresolved questions and a source-based check list. Do not send, publish, buy, schedule or change another service.
Optional: improve the result
Explain a zero baseline
Practice a case where one useful calculation remains available and the other does not. This optional extension uses only the synthetic example. Return to the sample chat, or paste its full Input into a new chat first. Do not transfer the changed sample values to your own input.
Advanced prompt
For a new hypothetical pair within this sample exercise, replace A with 0 attendees out of 100 and B with 10 out of 100. Show the rates and percentage-point increase, and explain why relative percentage increase is undefined under the supplied rule. Keep these hypothetical values separate from the original record.
Show, then try
See the shape of the result.
This input is synthetic. The output is a written illustration of the intended result, not a verified AI-tool run.
01 / The starting point
Synthetic input
Synthetic practice input. All names, products, records and policies below are invented.
Fictional workshop attendance records for adults. Session A, the earlier session: 20 attendees out of 100 invited. Session B, the later session: 30 attendees out of 100 invited. The same attendance and invitation definitions apply to both sessions. These are separate session groups; the source does not establish identical people or explain any cause.
Calculate attendance rates, the percentage-point difference and the relative percentage change from A to B. For this exercise, percentage-point change means new percentage minus old percentage; relative change means (new rate minus old rate) divided by old rate, multiplied by 100. If an old rate is zero, relative percentage change is undefined, not zero or an infinite measured result. Do not predict later sessions.
Copies text only. For image or file tasks, use the source files named in the steps too.
Illustrative answer authored for this guide; not a recorded AI response.
Rates
Session A: 20 / 100 = 0.20 = 20%.
Session B: 30 / 100 = 0.30 = 30%.
Absolute difference in rates
30% − 20% = 10 percentage points. “Percentage points” names the distance between two percentages.
Relative percentage change, using A as the base
(0.30 − 0.20) / 0.20 × 100 = 50%. Equivalently, the 10-percentage-point gap is half of the original 20% rate.
Careful wording
“Attendance rose from 20% in session A to 30% in session B: an increase of 10 percentage points, or 50% relative to the earlier rate.”
Counts also increased by 10 attendees, but attendee counts and percentage points are different units. Because both invitation counts are 100 here, their numerical differences happen to align. This does not mean a 10% relative increase: 20% × 1.10 would be 22%, not 30%. The records do not establish why the change happened.
These checks use the worked example and its particular facts. With your own material, check your actual names, numbers, sources and rules; do not reuse the sample’s values as the answer.
Unsaved checks stay in this tab and reset when you reload. If you choose Save guide, its current example checkmarks are kept in this browser when storage is available.
!
A few things to watch for.
Subtracting percentages gives percentage points; relative change needs division by the old rate as well.
If denominators or definitions differ, check comparability before interpreting the change. Never divide a relative change by a zero baseline.