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Math & Trig

Get total from percentage: find the whole when you know a part and its % share

Recover a whole from a known part and its fraction of that same whole.

Rearrange Part = Total * Pct into Total = Part / Pct

If an $18,000 escrow deposit represents 15% (0.15) of a property purchase, dividing DepositPaid by DownPct recovers the full purchase price: $18,000 / 0.15 = $120,000.

Subtracting the paid deposit from that recovered total immediately gives the remaining balance to finance ($120,000 - $18,000 = $102,000).

Known Part (A)Known Share % (B)Implied Full Total (A/B)Remaining Balance
180000.15120000102000
45000.22250018000

Implied total and remaining balance formulas

Always guard B2 = 0 so a 0% placeholder returns "Undefined" rather than #DIV/0!.

=IF(B2=0, "Undefined", ROUND(A2 / B2, 2))

Remaining balance (100% - Share%)

(A2 / B2) - A2 computes the remaining 85% ($102,000).

=ROUND((A2 / B2) - A2, 2)

Inputs and interpretation

For the deposit example, require a nonnegative part and 0 < share <= 1; enter 15% as 0.15, not 15. A tax rate on a net amount is not the tax fraction of the gross total. The remaining-balance formula also requires a nonzero share. This model omits fees and any separate financing charges.

Try the example

Use the original values or change them to test your understanding.

Further reading