P. --- I'm hoping your husband isn't equating what his contribution is to how much he makes (if he makes more than you).
I've been married for 35 years to the same wonderful man, and have two adult daughters and twin grandbabies at home. Husband works fulltime, both daughters go to school, one daughter also works 30-35 hours. However, there were times when they all thought they were doing enough to contribute to the household. Other than the girls doing their own laundry, I pretty much was left to do the rest.
I nagged, I cried, I got mad (especially when they told me "just ask if you need help" as if they weren't aware that dinner had to be made every night).
I finally sat down and made a list of the household chores: laundry, grocery shopping, cooking, cleaning up after meals, loading/unloading the dishwasher, vacuuming, dusting, general picking up, distributing mail, distributing phone messages, taking garbage out, mowing lawn, gardening, washing cars, etc.
I called a family meeting and began by listing each person's name on the whiteboard and asked each person to list how many hours they worked and/or went to school each day. Next, I asked them if they like certain things: a clean kitchen, regular meals, clean house, etc. and if there was anything they thought we could live with not doing (letting dishes pile up in the kitchen, letting pantry supplies run out, forgoing cleaning/vacuuming, etc.). Then I listed each of the chores on a white board and asked each family member in turn to add any chores that I had missed and then write their name after the job they did by themselves on a regular basis (i.e., all the time). They didn't add anything and were not able to list their name next to anything other than doing their own laundry (and only my daughters, at that) and my husband next to mowing the lawn. We all help take the garbage out on garbage night. Then I got up and wrote my name next to virtually all the other jobs. It was a great visual for them to see that I was having to do so much.
We agreed on the spot that each person doing laundry would have a regular laundry day. That day is theirs unless they want to allow someone else to do laundry. This way, everyone does their laundry every week or they get inundated in dirty laundry.
We also agreed that someone would go with me each week to grocery shop and that whoever DOESN'T go to the store with me helps to create the menu. Similar agreements were made regarding cooking and cleaning up. Whoever doesn't help with cooking has to put away leftovers and clean up the kitchen. Each week we rotate who vacuums, who dusts and who picks up.
Each person has a plastic bag on a rack on the back of the door to the garage. If clutter collects, I put the clutter in the bag for that person. If they're missing something, they know to go to the bag.
It's getting better, now perfect yet. But now I don't feel like I'm ultimately responsible for all the chores that need to get done.
Good luck!