diff --git a/src/ProgressBar.php b/src/ProgressBar.php
index c70929f..b8450a6 100644
--- a/src/ProgressBar.php
+++ b/src/ProgressBar.php
@@ -225,7 +225,7 @@ public function setMaxProgress(int|float $maxProgress): ProgressBar
             $this->maxProgressIsZero = true;
         }
 
-        $this->maxProgress = max(1, $maxProgress);
+        $this->maxProgress = max(0, $maxProgress);
 
         return $this;
     }
@@ -235,6 +235,12 @@ public function setMaxProgress(int|float $maxProgress): ProgressBar
      */
     private function setPercentage(): void
     {
+        // Handle the "0 of 0" case as fully complete (100%) without division by zero
+        if ($this->maxProgress == 0) {
+            $this->percentage = 100;
+            return;
+        }
+
         $percentage = ($this->progress / $this->maxProgress) * 100;
         $this->percentage = number_format(round($percentage), 2);
     }
diff --git a/tests/ProgressBarTest.php b/tests/ProgressBarTest.php
index f688c37..4eab021 100644
--- a/tests/ProgressBarTest.php
+++ b/tests/ProgressBarTest.php
@@ -146,7 +146,7 @@ public function it_cannot_set_incorrect_max_progress()
         $progressBar = new ProgressBar();
         $progressBar->setMaxProgress(-1);
 
-        $this->assertEquals(1, $progressBar->getMaxProgress());
+        $this->assertEquals(0, $progressBar->getMaxProgress());
     }
 
     /**
@@ -155,10 +155,10 @@ public function it_cannot_set_incorrect_max_progress()
     public function it_can_gracefully_handle_zero_progress()
     {
         $progressBar = new ProgressBar(maxProgress: 0);
-        $this->assertEquals(1, $progressBar->getMaxProgress());
+        $this->assertEquals(0, $progressBar->getMaxProgress());
 
         $progressBar->tick(0);
-        $this->assertEquals(1, $progressBar->getProgress());
+        $this->assertEquals(0, $progressBar->getProgress());
 
         $this->assertEquals(100, $progressBar->getPercentage());
     }