Plan technical debt reduction
An approved case becomes a plan, and the plan has to compete out in the open with feature work rather than hiding as an unbounded cleanup project. Good technical debt reduction is small and testable when addressing what is technical debt. Measure it against the same baseline you used to win approval. You prioritize by two things: how much business exposure a piece of debt creates, and how much effort it takes to fix. Then you schedule the changes around the workflows that carry the most value.
Define up front how you'll know each fix worked. If you argued the case on lead time and MTTR, you check lead time and MTTR after the change. That closed loop is what turns technical debt reduction from a promise into evidence, and it's what lets you go back and ask for the next slice with a track record behind you.
Technical debt reduction matrix
Draw a two-by-two grid. One axis is cost to fix, low to high. The other is risk if you leave it alone, low to high. Every piece of debt lands in one of four quadrants, and each quadrant gets a different move:

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Low cost, high risk: fix first, this is the cheap insurance
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High cost, high risk: plan and stage it, break it into fundable slices
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Low cost, low risk: batch these and do them when convenient
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High cost, low risk: monitor and consciously accept, don't spend here yet
The part people get wrong is the risk axis. Risk here means delivery delay or incidents. Security exposure and customer impact also count. Dependence on one scarce expert is a risk as well. It does not mean code that offends someone's taste. Keep aesthetics out of it, because the moment a leader smells preference dressed up as risk, your whole technical debt reduction plan loses its footing. The same prioritization can be automated against your repository history if you want the quadrants populated from real data rather than a whiteboard guess.
Sprint allocation plan
Put remediation items in the normal backlog, right beside features. Give each an owner and acceptance criteria. Record its dependencies and an outcome measure. No separate secret track. When debt work sits in the same board as everything else, leadership can see the trade-offs they're actually making.
Rather than prescribing a universal percentage, agree on a recurring capacity policy that leadership can revisit, say a standing allocation you review each quarter. Incremental work is the safer bet for a reason. It limits disruption and keeps the learning risk small, because you find surprises one slice at a time. A one-off cleanup expands as deeper problems surface, and it burns a quarter without ever proving business value. The strangler fig approach that Martin Fowler named is a pattern in which a system changes piece by piece while it stays live. Facebook and Shopify modernized this way. Twitter used the same approach.
Deliver the conversation
When you're finally in the room, run the meeting in a fixed sequence:
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Name the business goal the hotspot affects
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Show the hotspot and its baseline numbers
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Explain the consequence in money or time
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Use your one analogy
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Present the investment case with its three options
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Ask for a specific decision
The most common way this fails is worth naming out loud. You open by saying, "we need to refactor." Or you say, "the architecture is messy." Another opening is "we have technical debt," and you quantify nothing. To a business leader, that sounds like engineers who want to polish code instead of shipping value, and the request dies right there. Lead with the business goal and the number, never with the word refactor.
Keep your implementation detail ready for questions, but out of the opening. When objections come, don't get defensive. Return to the trade-offs and the evidence every time. Keep the options in view. End the meeting by confirming the scope everyone agreed to and the accountable owner. Confirm the review date and the metric that will guide the next decision.
Make risk visible early
One more thing belongs in the conversation, and it's the one leaders underrate most. Ownership concentration is a business continuity problem. If a single engineer is the only person who understands a critical system, their absence or departure can stall changes and slow incident recovery even while the code looks perfectly stable. This is the bus factor, and a study of 133 popular GitHub projects found 46% had a bus factor of 1. Investors and acquirers price that risk whether or not you measured it.
The fix is to make the evidence visible before a crisis forces the funding decision. Put module health and delivery trends into a lightweight dashboard or a recurring portfolio review. Include known debt and accepted risks. Track bus factor as well. When leadership sees these numbers every month, the eventual funding conversation stops being a surprise escalation and becomes the next step in governance everyone already understands. That shared familiarity is what earns you a fast yes when it matters. If you'd rather not build and staff that view alone, Pollume can assess a hotspot and fold the remediation into an ongoing delivery plan. That keeps the answer to what is technical debt in your systems measured and visible before it turns into an emergency, with funding in place.