Bez ohledu na počet najetých kilometrů potřebujeme servisní historii.

Bez ohledu na means regardless of, irrespective of, or more literally without regard to.

So:

• bez = without
• ohledu = regard / consideration
• na = to / for / with respect to, depending on the expression

As a whole, bez ohledu na is a fixed expression meaning regardless of.

Because bez normally requires the genitive case in Czech.

The noun is:

• ohled = regard, consideration

After bez, it becomes:

• bez ohledu = without regard

This is a very common pattern:

• bez problému = without a problem
• bez auta = without a car
• bez ohledu = without regard

So ohledu is the genitive singular form of ohled.

Because the full expression is bez ohledu na + accusative.

It works as a set phrase:

• bez ohledu na cenu = regardless of the price
• bez ohledu na věk = regardless of age
• bez ohledu na počasí = regardless of the weather

Here:

• bez ohledu na počet najetých kilometrů = regardless of the number of kilometers driven

So even though bez already controls ohledu, the phrase then continues with na and the thing being disregarded.

Počet means number or amount/count.

So:

• počet kilometrů = number of kilometers

In this sentence, Czech expresses the idea more literally as:

• regardless of the number of kilometers driven

In English, we would often simply say regardless of the mileage, but Czech commonly uses počet kilometrů.

Because počet requires the following noun to be in the genitive plural, just like number of in English is followed by another noun.

So:

• počet kilometrů = number of kilometers

The adjective describing kilometrů must match that noun:

• najetých kilometrů = driven / covered kilometers

Together:

• počet najetých kilometrů = number of kilometers driven

This is a normal Czech structure:

• počet lidí = number of people
• počet aut = number of cars
• počet najetých kilometrů = number of kilometers driven

Najetých comes from the verb najet.

In car-related contexts, najet kilometry means to drive/cover a certain number of kilometers.

So najetý as an adjective means something like:

• covered
• driven
• accumulated (for mileage)

Examples:

• najeté kilometry = kilometers driven
• auto má najeto 150 000 km = the car has done 150,000 km / the car has 150,000 km on it

In your sentence, najetých kilometrů means of kilometers driven.

Because after počet, Czech uses the genitive plural.

The base word is:

• kilometr

Its genitive plural is:

• kilometrů

So:

• počet kilometrů = number of kilometers

And with the adjective:

• počet najetých kilometrů = number of kilometers driven

This is one of the most important patterns to get used to in Czech: after words like počet, hodně, málo, několik, etc., the noun is often in the genitive.

Because adjectives must agree with the noun they describe.

Here the noun is:

• kilometrů = genitive plural

So the adjective must also be genitive plural:

• najetých kilometrů

That agreement is completely normal in Czech. The adjective matches the noun in:

• gender
• number
• case

Even though English does not show this kind of agreement, Czech does.

Potřebujeme means we need.

It comes from the verb:

• potřebovat = to need

Conjugation:

• potřebuji = I need
• potřebuješ = you need
• potřebuje = he/she/it needs
• potřebujeme = we need

In this kind of sentence, we often refers to a company, garage, dealer, service center, or seller speaking on behalf of the business.

English does this too:

• We need the service history even if one employee is speaking.

Because potřebovat takes a direct object, and direct objects are usually in the accusative case.

The noun is:

• historie = history

Its accusative singular form is:

• historii

The adjective servisní agrees with it.

So:

• servisní historie = service history (dictionary/basic form)
• potřebujeme servisní historii = we need the service history

This is the normal accusative pattern after potřebovat.

Yes, it is basically the same idea.

Servisní historie means the record of maintenance and servicing of a vehicle. In natural English, you might also say:

• service history
• maintenance history
• service record(s)

So the Czech phrase is very natural in a car-related context.

The given word order is very natural:

• Bez ohledu na počet najetých kilometrů potřebujeme servisní historii.

It starts with the condition/background information:

• regardless of the number of kilometers driven

Then gives the main statement:

• we need the service history

Czech word order is more flexible than English, but this version sounds clear and standard.

You could move things around for emphasis, but the original is probably the most neutral and natural in this context.

Yes, that is possible, and it would mean something like:

• regardless of the mileage
• regardless of the kilometers driven

But bez ohledu na počet najetých kilometrů sounds slightly more explicit and formal, because it literally refers to the number of kilometers.

So both are understandable, but the original sentence has a slightly more official or business-like tone.

A very literal breakdown is:

• Bez ohledu na = regardless of
• počet = the number
• najetých kilometrů = of kilometers driven
• potřebujeme = we need
• servisní historii = service history

So word-for-word it is roughly:

• Regardless of the number of kilometers driven, we need service history.

That is very close to the natural English meaning.