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The phrase "accounted for approximately" is correct and usable in written English.
It can be used when discussing statistics, data, or estimates to indicate that a certain amount or percentage is being referenced.
Example: "The new policy changes accounted for approximately 20% of the overall budget increase."
Alternatives: "represented about" or "made up roughly".
Exact(60)
Skimming and cloning accounted for approximately £43m of this figure.
Music applications and Entertainment applications both accounted for approximately 50% of the impression share mix.
"Hotels and other lodging places" was the largest expense, which accounted for approximately 45%, and "Eating and drinking places" accounted for approximately 20% in both regions.
As computed, the structural variation accounted for approximately 50% of the total variation.
The rearrangement of the centromeric regions accounted for approximately 44% of all rearrangements.
The recombinant protein accounted for approximately 50 60% of the total protein.
Protein accounted for approximately 4% of the extracted material and included arabinogalactan protein (AGP).
The estimated path model accounted for approximately half the variance in math reasoning.
These accounted for approximately 50% of the total variation with mean absolute error ± 5 ppb.
These factors demonstrated strong internal consistency, and together accounted for approximately 60% of the total variance.
Sudden unexpected infant death (SUID) accounted for approximately 3700 infant deaths in the US in 2015.
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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