The gross needed to hit a target net.
Required gross salary
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PAYE
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Pension
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NHF
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Working a salary backwards from the take-home
Most salary tools run forwards. You feed in a gross figure and they tell you what lands in your account. This one runs the other way. You start with the take-home you want or have been promised, and it finds the gross that produces it. That is genuinely useful when you are negotiating an offer around a net number, when you need to gross up a relocation or expat package, or when a contract quotes pay after deductions and you have to budget the employer cost. It is built for employees and HR teams who think in net terms but have to commit to a gross on paper. The reason a tool is needed at all is that there is no neat formula to invert. Personal income tax is progressive, so the tax does not rise in a straight line, and the pension and National Housing Fund contributions both scale with pay, which in turn changes the reliefs that reduce taxable income. Everything moves together.
The search that solves it
Because the net cannot be unwound algebraically, the tool searches for the answer. It uses a bisection method, a reliable way to home in on a value. It picks a low and a high guess for the gross, computes the actual net each would produce after PAYE, pension, and any National Housing Fund contribution, and keeps halving the range toward your target. Net pay rises steadily with gross, so this converges quickly and precisely. Two inputs shape the result. The share of gross that counts as pension emolument, which drives the 8 percent employee pension contribution the calculator applies, and the share that counts as basic salary, which drives the optional 2.5 percent National Housing Fund deduction. Those contributions are deductible reliefs, so they shrink chargeable income before the tax bands are applied.
Grossing up to a NGN 5 million net
Use the tool's defaults, with the rates this calculator applies. You want NGN 5 million in the hand for the year, you set emolument at 80 percent of gross and basic at 50 percent, and you leave the National Housing Fund contribution switched off. The search settles on a required gross of about NGN 6,240,880. At that gross the pension contribution is 8 percent of the emolument, which is 80 percent of gross, giving roughly NGN 399,416. That pension is a relief, so chargeable income is the gross less the relief, about NGN 5,841,463, and the PAYE on it across the bands comes to about NGN 841,463. Subtract the PAYE and the pension from the gross and you are back to exactly NGN 5 million.
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The chart breaks the solved gross into its three parts. The large teal block is the take-home you asked for, and the other blocks are the PAYE and pension that the gross has to cover on top.
Getting the salary split right
The emolument and basic percentages are not cosmetic, they change the answer, and the common mistake is leaving them at a default that does not match the real contract. Pension is charged on emolument, defined as basic plus housing and transport allowances, so if your structure has a low basic and large allowances the pension base shifts and so does the gross. The National Housing Fund deduction, when you switch it on, is charged on basic alone. Set both to mirror how your employer actually structures pay, otherwise the gross will be off. A practical tip when negotiating is to confirm whether the net you have been quoted is already after pension or only after tax, because people use net loosely and the difference here is hundreds of thousands of naira. Since the 2025 reform is still moving the bands and reliefs, and the Federal Inland Revenue Service is being reorganised into the Nigeria Revenue Service, treat the solved gross as a close estimate and confirm the live PAYE figures with the FIRS and your state internal revenue service.
Why does grossing up cost more than just adding the tax back?
Because the extra gross you add is itself taxed. To hand someone an additional naira of net pay, you have to add more than a naira of gross, since part of that addition is lost to PAYE and pension. The higher the marginal band, the bigger the gap. That circularity is exactly why a simple add-back undershoots and why the tool solves iteratively instead of with one sum.
Should I turn on the National Housing Fund option?
Only if the contribution genuinely applies to the role. Under the current rules it is voluntary for private-sector staff, so many packages leave it out. Switching it on raises the required gross slightly, because the deduction reduces net pay and has to be covered, though it is also a relief that trims taxable income. If you are unsure whether the role deducts it, model both and compare the two gross figures.