When it’s 100% organic? When some of its ingredients are certified organic? When its formula is certified organic? Or when the word ‘organic’ is used liberally all over its packaging?
For a start, water (aqua) can’t be classified as organic because it can not be renewably farmed, so that rules out 100% organic claims for most cosmetic categories already.
For seconds, unlike food, there is currently no law restricting the use of the word ‘organic’ in cosmetics. This means products may appear to be organic even if only one minor ingredient is certified. (You can usually check this trickery yourself by looking at the ingredient list, or INCI, which must appear on every product and ranks ingredients by volume, starting with the largest, such as aqua. If the organic ingredient is at or near the end of the list, you’re being fooled).
For thirds, to have a certified organic product in Europe, you need to pay a for-profit certifier to approve your entire formula, but you only need to include up to 20% certified organic ingredients for a leave-on product such as lotions or creams, or a measly 10% for soaps and washes.