Do perfumed soaps that leave their fragrance on the body after using them come under the same ruling as perfume?
Question

                Many soaps/shampoos are scented or have perfume listed as an ingredient. they smell basically. is this regarded as wearing perfume that is forbidden to women, since even after washing, the smell stil lingers.

also what if u go into a room that has been sprayed with air freshner or someone applies perfume and u can smell it. could it stick to ur clothes? 

is shea butter regarded as a fragrance. can u define perfume, e.g mint, lavendar, vanilla, etc are these regarded as scents.
Praise be to Allah.It was 
    narrated by Imam Ahmad (40/229), and by al-Tirmidhi (2786) who classed it as 
    saheeh, that Abu Moosa al-Ash’ari (may Allah be pleased with him) said: The 
    Messenger of Allah (blessings and peace of Allah be upon him) said: “Any 
    woman who puts on perfume then passes by the people so that they can smell 
    its fragrance is a zaaniyah.” Classed as hasan by al-Albaani. 
Al-Haafiz 
    Ibn Hajar (may Allah have mercy on him) said: 
Women are 
    enjoined to cover themselves when they go out of their houses, and the 
    perfume which has a fragrance is not allowed because it increases the 
    fitnah. End quote. 
It was 
    narrated by Abu Dawood (2174), and by al-Tirmidhi (2787) who classed it as 
    hasan, that Abu Hurayrah (may Allah be pleased with him) said: The Messenger 
    of Allah (blessings and peace of Allah be upon him) said: “Perfume for men 
    is that which has a strong fragrance and scant colour, and perfume for women 
    is that which has a strong colour and scant fragrance.” Classed as saheeh by 
    al-Albaani in Saheeh al-Tirmidhi. 
Sa’eed ibn 
    Abi ‘Uroobah, the narrator of the hadeeth, said: I think that with regard to 
    the words “perfume for women” this refers to when she wants to go out, but 
    if she is with her husband, she may apply whatever perfume she wants. End 
    quote. 
Sunan Abi 
    Dawood (4/84); Sharh al-Sunnah by 
    al-Baghawi, 12/81. See: al-Mawsoo’ah al-Fiqhiyyah, 12/174 
To sum up: 
    if a woman wants to go out of her house, she must avoid wearing perfume that 
    has a strong fragrance, if she is going to pass by groups of men or is in a 
    place where she will mix with them. This ruling does not apply only to one 
    kind of perfume and not another; rather what counts here is whether the 
    fragrance can be smelt by any man. 
Whatever 
    comes under the same heading as using fragrance, such as using soap or 
    shampoo that has a strong and lasting smell that remains after using it, 
    comes under the same ruling. It is not permissible for her to use any of 
    those things if she is going out of her house or mixing with men. 
Shaykh Ibn 
    ‘Uthaymeen (may Allah have mercy on him) said: 
There are 
    things that are perfumed which in and of themselves are not perfume, but 
    they are perfumed, so they come under the same ruling as that which is 
    perfume in and of itself, such as some soaps that have a clear fragrance and 
    not just a scent; rather it is perfume, such that if a person were to wash 
    with it, its fragrance would be clear on his hand. This comes under the same 
    ruling as perfume. As for a mere scent which if a person washes with it, it 
    does not leave a smell, there is nothing wrong with this -- meaning for the 
    muhrim (pilgrim in ihram). End quote. 
Sharh 
    al-Kaafi, 1/112 
And Allah knows best. 
For more information please see the answer to question number
    102329.