Lean Labs describes its redesign for Integrate as an inbound-driven redesign, and three numbers from that account aren't interchangeable. Within 60 days of launch, the rate at which visits became contacts rose 271%. Total leads rose 174% against the same period before launch, a total that included an eBook co-published around the same time. With the eBook's leads removed, the rise was 45%. Reporting both lead figures tells a reader that a campaign ran alongside the launch, and neither figure isolates what the eBook or the redesign caused.
A conversion rate and a lead total can move apart. A rate can rise while the count barely moves if traffic falls, and a count can rise on traffic alone. A percentage increase in a rate also depends on where the rate started. Suppose a site turns 1% of its visits into contacts. A 271% increase takes that to 3.71%. The 271% is a change relative to a starting rate the account doesn't give.
Media Junction's 2016 account of its work for the Pittsburgh Parks Conservancy reports a 32.4% month-to-month increase in conversions during the first quarter. That is a growth rate between months. It isn't a total for the quarter, and it isn't a figure for donations. The account is more useful for the revisions it describes. The team changed a menu label from Support to Give and made it more prominent. After launch it moved some card text because it read visitor behavior as people thinking the page ended there, and it reported more scrolling afterward. That reading of the behavior is the agency's interpretation.
Both cases are agencies describing their own projects, with a before and an after and no control group. They establish that these outcomes were reported for these sites, with the metric and the window each account names. They don't forecast another site's result. Our answer on what growth-driven design case studies teach looks at the two projects more closely.