diff --git a/docs/mkdocs/docs/api/basic_json/number_float_t.md b/docs/mkdocs/docs/api/basic_json/number_float_t.md
index aa41f33f0..1cde41960 100644
--- a/docs/mkdocs/docs/api/basic_json/number_float_t.md
+++ b/docs/mkdocs/docs/api/basic_json/number_float_t.md
@@ -23,10 +23,10 @@ type to use.
 ## Template parameters
 
 `NumberFloatType`
-:   the type to store floating-point numbers. The parser converts `#!cpp float`, `#!cpp double`, and a
-    `#!cpp long double` that is IEEE 754 binary64 itself and other `#!cpp long double` formats with
-    `#!cpp std::from_chars` or `#!cpp std::strtold`, and serialization falls back to `#!cpp std::snprintf`, so the
-    type must be `#!cpp float`, `#!cpp double`, or `#!cpp long double`. The
+:   the type to store floating-point numbers. The type must be `#!cpp float`, `#!cpp double`, or
+    `#!cpp long double`. The parser converts `#!cpp float`, `#!cpp double`, and a `#!cpp long double` that is IEEE 754
+    binary64 itself. It converts other `#!cpp long double` formats with `#!cpp std::from_chars` where available, or
+    with `#!cpp std::strtold` otherwise. Serialization falls back to `#!cpp std::snprintf`. The
     [binary formats](../../features/binary_formats/index.md) additionally require `#!cpp float` or `#!cpp double`,
     because they have no encoding for `#!cpp long double`. See
     [Template Parameter Requirements](../../features/types/template_parameters.md#numberfloattype).
diff --git a/docs/mkdocs/docs/features/types/template_parameters.md b/docs/mkdocs/docs/features/types/template_parameters.md
index 3a24d74d8..b68fed8ba 100644
--- a/docs/mkdocs/docs/features/types/template_parameters.md
+++ b/docs/mkdocs/docs/features/types/template_parameters.md
@@ -353,16 +353,21 @@ using array_t = ArrayType<basic_json, AllocatorType<basic_json>>;
 ### Always required
 
 - A member type `value_type` that is one byte wide and `char`-compatible. The library stores and processes UTF-8
-  encoded `char` data and passes `data()` to functions that take a `#!cpp const char*`, such as `#!cpp std::strtod`.
+  encoded `char` data and passes `data()` to functions that take a `#!cpp const char*`, such as `#!cpp std::strtold`
+  (only used to parse a `#!cpp long double` that is not IEEE 754 binary64, see
+  [`NumberFloatType`](#numberfloattype)).
   `#!cpp std::wstring`, `#!cpp std::u16string`, and `#!cpp std::u32string` are **not** valid choices; see the FAQ on
   [wide string handling](../../home/faq.md#wide-string-handling).
 - Constructors: default, copy, move, from `#!cpp const char*` (which must not be `#!cpp explicit`), from
   `#!cpp (const char*, size_type)`, and from `#!cpp (size_type, char)`; and copy or move assignment.
 - Member functions `size()`, `clear()`, `resize(n, c)`, `data()`, `push_back(char)`, and `operator[]`
   (const and non-const, returning references). `c_str()` and `back()` are **not** required.
-- `data()` must return a pointer to a contiguous, **null-terminated** buffer -- the parser may hand it to
-  `#!cpp std::strtod`, which reads up to the null character. A type whose `data()` is not null-terminated does not
-  fail to compile; it can silently misparse floating-point numbers.
+- `data()` must return a pointer to a contiguous, **null-terminated** buffer. `#!cpp float`, `#!cpp double`, and a
+  `#!cpp long double` that is IEEE 754 binary64 are converted by the library itself and do not depend on this. For any
+  other `NumberFloatType` (a `#!cpp long double` of another format), the parser falls back to `#!cpp std::strtold` when
+  `#!cpp std::from_chars` is not available or declines the token, and `std::strtold` reads up to the null character. A type whose `data()`
+  is not null-terminated does not fail to compile; with such a `NumberFloatType` it can silently misparse
+  floating-point numbers.
 - `append(const char*, size_type)`, used by [`dump`](../../api/basic_json/dump.md), and `append(const StringType&)`,
   used by the CBOR reader for indefinite-length strings. The library's internal string concatenation additionally has
   to append a `#!cpp char` and a `#!cpp const char*`; for each it selects between `append(arg)`, `#!cpp operator+=`,