How would your company deal with this? Holiday allowance.

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I used to work 3 days a week, so got 3/5 of the total holiday allowance.
Back at the beginning of April, I agreed to increase my days to 4, short term only until an new employee has been found. Holiday allowance should therefore be 4/5 of total.
However, I only agreed to do the extra 8 hours if I could do them from home, without agreeing a set day or time. So, I pick my emails up each of the two days I am at home, but I could actually work, 2 hours one day, 6 the next or 8 hours on a Sunday, or work between 2am and 6 am if I want to.
Owner of the business agreed these terms. He told me to speak to HR about holidays, but they are stumped.
I have a solution in my head, which HR aren’t really happy with, so just wanted thoughts on how you would cope with this in your company.

They would do it in hours, not days. It's rarely standard to calculate leave in hours for part timers, not sure why they have done this this from the start

Might best to do your holiday entitlement in hours rather than days if you may work different hours on different days.

Calculate full time entitlement in hours and then you get ⅘ of that to use as holidays

When you work the days is irrelevant. It's the % of fulltime hours that your work that matters. So if fulltime is a 40 hour week, and you were previously doing 24 hours, that's 60% or 0.6FTE (full time equivalent).

If you are now doing 32 hours, regardless of when you put them in, you are currently doing 0.8FTE. If you do that for say 2 months, then those 2 months you accrue annual leave at 80% of the full allowance.

So, if full allowance at 28 days a year , at 8 hours a day = 224 hours per annum.
10 months at 0.6FTE gives 112 hours
2 months at 0.8FTE gives 29.9 hours
So total allowance for the year 141.9 hours, or 17 days and 5.9 hours.

Ignore the rarely in my post, no idea how it got there

Yes do it in hours.

But also up to April you were only on 3/5 of a week so the years allowance should be split into amount accrued up to April and then amount afterwards.

Yes but as the additional hours are not set days or times then in theory I could end up not using all my allowance.
My set days in the office are Monday, Wednesday and Friday. If I am off for the full week then I currently use 3 days holiday. In future this will be 4 days. But I could do the 8 hours at weekend, so why should it be classed as 4 days holiday?
If I go away Monday to Wednesday, then how many days holiday would I need to use? I can still work the extra 8 hours on Thursday or at weekend.
What makes it worse is that I am currently so busy that I need to do the extra hours. I had. Week off last week, classed as 4 days holiday, but I worked 8 hours at weekend, so in theory should have only been classed as 3 days holiday.
HR wants me to have 4 set days, so Mon. Weds and Friday in the office and Thursday as my set day for working from home. If I wanted to do the extra hours all on one day then it would be easier for me to work from the office, I want the flexibility of being able to work the extra 8 hours when I want to.

I think that I should officially be on 60% holiday allowance (15) days and keep a record of when I have used up the extra 5 days holidays by only doing 4 hours a week from home instead of the extra 8 for example.

The holiday software we use only work on full or half days, not by the hour.

(I can’t claim extra pay for the 8 hours I worked last week, the agreement to do the extra 8 hours from home was, in theory, supposed to make it easier to calculate my pay without having to keep a tally of extra hours worked. Salaried staff on a monthly pay, so in theory I don’t get paid if I work over my contracted hours.)

I’m not being awkward at all, although reading back it does sound as if I am, I am just trying to find a solution for what to call a ‘holiday’ rather than a non working day.

Unfortunately short term in reality is looking to be at least another 6 months. We are struggling to fill the role and once filled we will need around 4 months of training before I can reduce my hours again.

Why can't you have your leave worked out in hours then ask to take x number of hours? So if you know you are doing 32 hours per week (4 days) but you only want to take 3 days leave and work the other day (however spread) then you'll be asking for 36 hours leave.

Not 36, 24, sorry.

I think you'll have to work it out on the basis of how many days you're actually not working, perhaps by month? So if you work for 8 hours, you don't take leave.

I work one day a week and I can move my day around at will.

So it's harder to use my holidays as I only book a day off it I need a whole week off. If I just need one day I move the day I work.

I have so much holidays unused!

Working out holidays as hours sounds complex. Surely you now work 4 days p/w. It’s just that one of the days is broken up. You should get 4/5 holiday allowance.

If you were on holiday for a week you do no work that week mon-fri and nor do you do any hours on the weekend that corresponds to that week.

If you’re on holiday for fewer than four days, you select whether those are office days or include your wfh day. Again, if wfh then you don’t do that week’s wfh hours, regardless of when those might actually be.

Also works quite well if your non-office time can be moved about as presumably you could have two full days off occasionally if you make up the hours on your office days.

It needs to be worked out in hours as you are working random hours and days

That's why you work it in hours - if you take 3 days off at 8 hours but then work the other 8 hours at the weekend, you have taken 24 hours, not a full week.
Hours are the only way to work leave when you work irregular work patterns.

Part time holidays are best worked in hours, so if you work 32 hours out of a 40 hour week you get 0.8 of the full holiday allowance converted in to hours, the same for bank Holidays. Then when you take a days holiday you deduct 8 hours from your allowance. By my calculations you should get 192 hours for a full year if the standard week is 40 hours, for every calendar month you should get 16 hours leave.