[Solved] How can I apply a style to a parent of a specific child


I think what you need is

$('ul.navbar-nav li').hover(function () {
    $(this).find('.sidenav_wrapper:first').css('display', 'block');
}, function () {
    $(this).find('.sidenav_wrapper:first').css('display', 'none');
});

$(".sidenav_active").parent().css({
    "display": "block"
});

$('.sidenav_active').closest('.sub_menu').find('a').css({
    "font-weight": "700"
});

Demo: Fiddle

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solved How can I apply a style to a parent of a specific child