The phrase "a lesser part of" is correct and usable in written English.
It can be used to describe something that is smaller or of lesser importance compared to something else.
Example: "While the project was ambitious, a lesser part of it was dedicated to community outreach."
Alternatives: "a smaller portion of" or "a minor component of".
But it it far too late to make out a case that the party primary is such a lesser part of the democratic process that its cost must be shifted away from the taxpayers generally.
The recent tendency is that the majority of documents and their contents within business information systems remain in semi-structured format and a lesser part of documents is transformed into schemas of structured databases.
But in the hurricanes that have battered the western Gulf in the decade since Rita, and Gustav, and Isaac, and Ike race has been a lesser part of the story, and universal vulnerability a much greater one.
But in the hurricanes that have battered the western Gulf in the decade since — Rita, and Gustav, and Isaac, and Ike — race has been a lesser part of the story, and universal vulnerability a much greater one.
In general, the highest borrowing rates -- typically on credit cards for those with subpar incomes or repayment histories -- will be hit relatively lightly because the cost of money is a lesser part of the rate than the lenders' cost of administration and write-offs of uncollectible accounts.
Tropical forests play an important role in the global carbon cycle because they account for a large part of terrestrial net primary productivity, while covering a lesser part of the global land surface (Slot and Winter 2017).
Fat was understood as an essential substance that formed a greater or lesser part of the body according to its constitution, and hence also according to sex, as the constitution associated with the female sex meant that women would have a greater store of fat than men.
Swimming of a typical fish occurs by undulations passing along a greater or lesser part of the body.
Today only a greater or lesser part of the sides is left below the rim, depending upon the range required, but originally the oil drum was left intact.
From "The Dick Van Dyke Show" in the 1960's to "The Mary Tyler Moore Show" in the 1970's to "Murphy Brown" in the 1980's, such series have been a consistent if lesser part of the prime-time landscape.
You'll need oil, eyeshadow, 1/4 or lesser part of a non-toxic crayon and 1 teaspoon of a lip balm you've been using.
