Bars to atmospheres
One bar is 0.986923266716 atmospheres, and this shows the working rather than just the answer. Nothing you type here leaves your browser — it is worked out on your own device, so there is nothing to send and nothing to log.
The factor
One bar is 0.986923266716 atmospheres. That is the whole of the conversion: multiply by it, and nothing else happens.
And it is exact
Not rounded, not measured, not a convention that might be revised. The factor above is the definition, so an answer from it is as exact as the number you typed.
The bar is exactly 100,000 pascals, and near enough atmospheric pressure at sea level.
The atmosphere is defined as exactly 101,325 pascals. Not quite a bar.
The number in your head
Most people use 0.99 for this, which is the factor to two significant figures. It is high by 0.3117% — 3.117 atmospheres too many in every thousand, and 31.17 in every ten thousand.
Going the other way
The reverse is not this sum backwards in your head. It is a different factor, 1.01325, and dividing by one is not the same as multiplying by a rounded version of the other.
Rounded, the way back is 1.01, which is low by 0.3208%. So the two roundings do not cancel: go out and back with both and you do not land where you started.
How many of those decimals mean anything
The box above will give you ten decimal places because it can. Whether they mean anything is decided by your measurement, not by the arithmetic.
If you measured to the nearest bar, your figure is already uncertain by half of one — so the answer is uncertain by about 0.493462 atmospheres, and every digit past that is decoration. Quoting 1.21841599 when you measured with a tape is claiming a precision the tape never had.
Where these two sit
Bars and atmospheres both measure pressure, which is why they can be converted at all. A conversion between families — a length into a weight — is not a conversion, it is a question with a missing quantity in it.
The unit converter pairs bars with psi rather than with atmospheres, because that is the conversion people ask for most. This page exists because a good many ask for this one instead.
Other conversions from bars
psi · pascals · kilopascals · millibars · mmHg · torr · hectopascals · inHg