The number nobody prints
A sign covers thirty degrees, and saying someone is Virgo says only which thirty degree block the Sun occupied. The finer figure is the one that does actual work in a chart, because aspects, house cusps and progressions all depend on it rather than on the sign label.
On this date the Sun has just cleared the start of the sign. At noon it has sat between about 1.4 and 2.7 degrees of Virgo across the whole span from 1930 to 2035, so the second degree is the honest answer for almost anyone with this birthday. Your own value depends on the year, the hour and the meridian you were born on, and the widget above works it out from those.
Why the figure holds still
The calendar is built to track the orbit. A tropical year runs a little under three hundred and sixty five and a quarter days, and the leap rule pulls the date back into line each time the excess has piled up into a full day. The effect on any fixed date is a slow forward creep followed by a jump back.
So the Sun on 25 August is not free to wander. It moves a little under one degree per day at this time of year, and the leap cycle keeps the total spread narrow. A person born on this date in 1934 and one born in 2034 have Suns close enough together that they share a degree and often a minute or two of arc.
The opening face of Virgo
Each sign divides into three ten degree faces, or decans. Two degrees of Virgo is well inside the first of them, which runs from the start of the sign to ten degrees. The Chaldean order, which loops Mars, Sun, Venus, Mercury, Moon, Saturn and Jupiter around the whole zodiac from the start of Aries, reaches the Sun at this point. The triplicity method instead assigns it to Virgo itself, and so back to Mercury.
Tradition reads the first face as the plainest expression of the sign, with the solar rulership adding a note of visibility to a sign otherwise described as reticent. That is interpretation and worth marking as such, but it is at least interpretation of something specific, which the bare word Virgo is not.
What the date does not decide
The Moon travels about thirteen degrees a day, so it crosses roughly half a sign between one midnight and the next. Anyone born on 25 August has a Moon in one of two signs, and which one depends on the hour and the year alone. Nothing about the date narrows it.
The Ascendant is looser still. The whole zodiac rises over twenty four hours, so any of the twelve signs can be on the eastern horizon on this date, and four minutes of clock time shifts it by a degree. Between the Moon, the Ascendant and the houses, the Sun sign is the least individual thing in the chart. It is simply the part that is easy to look up, which is why it has taken over the conversation.
Questions people ask about this
Is 25 August always Virgo?
Yes. Taken at noon, every year from 1930 to 2035 puts the Sun in Virgo on this date, and the nearest boundary is a couple of days behind. Birth time and country do not change the answer here, though they do change the exact degree.
What degree of Virgo is a 25 August Sun?
Near the second degree, with noon values running from about 1.4 to 2.7 across the last century. Your own figure falls inside that band and is fixed by your year, hour and birthplace. The widget above returns it to the minute.
Which decan does this birthday fall in?
The first face of Virgo, which covers the opening ten degrees. In the Chaldean sequence that face answers to the Sun, while the triplicity scheme gives it to Virgo and therefore to Mercury. Descriptions differ depending on which scheme an author used.
Does being early in the sign mean anything?
Traditionally the opening degrees are read as the sign in its least mixed form, without the flavour the next sign lends to the closing degrees. It carries no technical weight. A Sun at two degrees is exactly as much in Virgo as one at twenty eight.
Why do other pages for this date all read the same?
Because they work from a fixed date range and a stock paragraph about the sign. Nothing in that method produces a position, so nothing distinguishes one Virgo birthday from another within the sign.
Do I need my birth time for this date?
Not to establish the sign, which is settled. You need it for the Moon, which can be in either of two signs, and for the Ascendant and houses, which change through the day. Without a time those parts of the chart stay open.