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The phrase "about the same percentage" is correct and usable in written English.
It can be used when discussing or comparing statistical data or proportions that are similar in value.
Example: "The survey results indicated that about the same percentage of respondents preferred option A as those who preferred option B."
Alternatives: "approximately the same proportion" or "roughly the same percentage".
Exact(54)
About the same percentage thought that political leaders "behave unethically".
About the same percentage of voters rank health care, Social Security, Medicare or taxes first.
Companies knocked have quickly dropped in value by about the same percentage".
(Mercedes said about the same percentage of its 2004 buyers had previously bought a car through its program).
It's about the same percentage, it's about sixty-five, seventy per cent who think we're going in the wrong direction.
These were quick off the mark and sell about the same percentage of online travel as the airlines do.
They also show that about the same percentage supports the governor's idea of putting it on the ballot.
About the same percentage (34%) don't think there should be any health-care reform bill at all.
About five to ten percent are anti-Roosevelt, & about the same percentage of foreigners are enthusiastic admirers.
While this is a significant allocation of the budget, it is about the same percentage spent on the facilities under the old system.
Similar(1)
Thirty percent of her graduate students are women--three of 10--about the same percentage as the rest of the department, or maybe a bit less.
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Since I tried Ludwig back in 2017, I have been constantly using it in both editing and translation. Ever since, I suggest it to my translators at ProSciEditing.

Justyna Jupowicz-Kozak
CEO of Professional Science Editing for Scientists @ prosciediting.com