Inflation is measured disproportionally by commodity prices. That's why you can see consumer prices nearly double, and inflation is only mentioned as 5-10%.

The corporations can triple the prices on the shelves, and if the commodities they buy to produce those consumer products are more or less the same price, inflation numbers won't really budge much.

Minimum wage should be tied to cost-of-living, which also varies by region. If San Fransisco and backwoods Oklahoma are averaged together, that's not going to be a very useful metric.

Minimum wage in a given district should be a proportion of the cost of living for that district, such that, for example, a person working four 40 hour weeks (160 hours) should be able to meet the cost of all their basic necessities with a defined percentage of their income, say maybe 30% (although since it's a minimum, that percentage could reasonably be higher, but definitely no higher than 60%).

Of course, what necessities are included, and how to measure their cost needs to be clearly defined. I'd say as a baseline, that would include food, housing, utilities (including water, electric, heat, and honestly even internet and cell service because let's be honest, those are necessities these days), healthcare, and reasonable transportation based on what's available in the area (i.e. viable public transit or car-centric infrastructure). Arguments can be made to include other recurring expenses, such as clothes, but that would be harder to quantify. (Things like savings and discretionary expenses belong in the leftover percentage of income).

So if, for example, someone lives in a place where the cost of living is measured as $2000 per month, and say the minimum wage is tethered to the cost of living by a factor of 50%. That means the person should make at least $4000 for a month's worth of work. $4000 ÷ 160 hours = $25/hour, so that tracks with what they're pushing for.

Of course, some places (many places, these days), $2000 isn't enough to make ends meet. So cost-of-living should be calculated by district. And the specific percentage is negotiable. States with good legislators might deem 30% of minimum wage income should be enough to meet necessities. States with shitty representatives might say 60% of minimum wage income should be enough to meet necessities. And that can change the calculation drastically, so there's a lot of wiggle room. But the overall structure of the formula should be mandated nationwide, as well as a standard definition of necessities and how to measure them.

Lastly, this leaves room in the future for a particularly progressive Congress to change the definition of a work week to 30 hours or so. All that needs to change then is the number you divide the monthly income by (in this case, 120, so 4000/120 = $33/hour in our enlightened future).