diff --git a/htdocs/core/triggers/interface_20_modWorkflow_WorkflowManager.class.php b/htdocs/core/triggers/interface_20_modWorkflow_WorkflowManager.class.php
index e478e26565286..5c13e3726402f 100644
--- a/htdocs/core/triggers/interface_20_modWorkflow_WorkflowManager.class.php
+++ b/htdocs/core/triggers/interface_20_modWorkflow_WorkflowManager.class.php
@@ -105,8 +105,8 @@ public function runTrigger($action, $object, User $user, Translate $langs, Conf
 					    if ($element->statut == Propal::STATUS_SIGNED || $element->statut == Propal::STATUS_BILLED) $totalonlinkedelements += $element->total_ht;
 					}
 					dol_syslog( "Amount of linked proposals = ".$totalonlinkedelements.", of order = ".$object->total_ht.", egality is ".($totalonlinkedelements == $object->total_ht) );
-					if ( ($totalonlinkedelements == $object->total_ht) || (! empty($conf->global->WORKFLOW_CLASSIFY_IF_AMOUNTS_ARE_DIFFERENTS)) )
-					{
+                    if ($this->shouldClassify($conf, $totalonlinkedelements, $object->total_ht))
+                    {
     					foreach($object->linkedObjects['propal'] as $element)
     					{
     					    $ret=$element->classifyBilled($user);
@@ -134,7 +134,7 @@ public function runTrigger($action, $object, User $user, Translate $langs, Conf
         		        if ($element->statut == Commande::STATUS_VALIDATED || $element->statut == Commande::STATUS_SHIPMENTONPROCESS || $element->statut == Commande::STATUS_CLOSED) $totalonlinkedelements += $element->total_ht;
         		    }
         		    dol_syslog( "Amount of linked orders = ".$totalonlinkedelements.", of invoice = ".$object->total_ht.", egality is ".($totalonlinkedelements == $object->total_ht) );
-        		    if ( ($totalonlinkedelements == $object->total_ht) || (! empty($conf->global->WORKFLOW_CLASSIFY_IF_AMOUNTS_ARE_DIFFERENTS)) )
+                    if ($this->shouldClassify($conf, $totalonlinkedelements, $object->total_ht))
         		    {
         		        foreach($object->linkedObjects['commande'] as $element)
         		        {
@@ -157,8 +157,8 @@ public function runTrigger($action, $object, User $user, Translate $langs, Conf
         		        if ($element->statut == Propal::STATUS_SIGNED || $element->statut == Propal::STATUS_BILLED) $totalonlinkedelements += $element->total_ht;
         		    }
         		    dol_syslog( "Amount of linked proposals = ".$totalonlinkedelements.", of invoice = ".$object->total_ht.", egality is ".($totalonlinkedelements == $object->total_ht) );
-        		    if ( ($totalonlinkedelements == $object->total_ht) || (! empty($conf->global->WORKFLOW_CLASSIFY_IF_AMOUNTS_ARE_DIFFERENTS)) )
-        		    {
+                    if ($this->shouldClassify($conf, $totalonlinkedelements, $object->total_ht))
+                    {
         		        foreach($object->linkedObjects['propal'] as $element)
         		        {
         		            $ret=$element->classifyBilled($user);
@@ -186,8 +186,8 @@ public function runTrigger($action, $object, User $user, Translate $langs, Conf
         				if ($element->statut == CommandeFournisseur::STATUS_ACCEPTED || $element->statut == CommandeFournisseur::STATUS_ORDERSENT || $element->statut == CommandeFournisseur::STATUS_RECEIVED_PARTIALLY || $element->statut == CommandeFournisseur::STATUS_RECEIVED_COMPLETELY) $totalonlinkedelements += $element->total_ht;
         			}
         			dol_syslog( "Amount of linked orders = ".$totalonlinkedelements.", of invoice = ".$object->total_ht.", egality is ".($totalonlinkedelements == $object->total_ht) );
-        			if ( ($totalonlinkedelements == $object->total_ht) || (! empty($conf->global->WORKFLOW_CLASSIFY_IF_AMOUNTS_ARE_DIFFERENTS)) )
-        			{
+                    if ($this->shouldClassify($conf, $totalonlinkedelements, $object->total_ht))
+                    {
         				foreach($object->linkedObjects['order_supplier'] as $element)
         				{
         					$ret=$element->classifyBilled($user);
@@ -209,8 +209,8 @@ public function runTrigger($action, $object, User $user, Translate $langs, Conf
         				if ($element->statut == SupplierProposal::STATUS_SIGNED || $element->statut == SupplierProposal::STATUS_BILLED) $totalonlinkedelements += $element->total_ht;
         			}
         			dol_syslog( "Amount of linked supplier proposals = ".$totalonlinkedelements.", of supplier invoice = ".$object->total_ht.", egality is ".($totalonlinkedelements == $object->total_ht) );
-        			if ( ($totalonlinkedelements == $object->total_ht) || (! empty($conf->global->WORKFLOW_CLASSIFY_IF_AMOUNTS_ARE_DIFFERENTS)) )
-        			{
+                    if ($this->shouldClassify($conf, $totalonlinkedelements, $object->total_ht))
+                    {
         				foreach($object->linkedObjects['supplier_proposal'] as $element)
         				{
         					$ret=$element->classifyBilled($user);
@@ -237,7 +237,7 @@ public function runTrigger($action, $object, User $user, Translate $langs, Conf
                         if ($element->statut == Commande::STATUS_VALIDATED || $element->statut == Commande::STATUS_SHIPMENTONPROCESS || $element->statut == Commande::STATUS_CLOSED) $totalonlinkedelements += $element->total_ht;
                     }
                     dol_syslog( "Amount of linked orders = ".$totalonlinkedelements.", of invoice = ".$object->total_ht.", egality is ".($totalonlinkedelements == $object->total_ht) );
-                    if ( ($totalonlinkedelements == $object->total_ht) || (! empty($conf->global->WORKFLOW_CLASSIFY_IF_AMOUNTS_ARE_DIFFERENTS)) )
+                    if ($this->shouldClassify($conf, $totalonlinkedelements, $object->total_ht))
                     {
                         foreach($object->linkedObjects['commande'] as $element)
                         {
@@ -310,4 +310,26 @@ public function runTrigger($action, $object, User $user, Translate $langs, Conf
         return 0;
     }
 
+    /**
+     * @param Object $conf                  Dolibarr settings object
+     * @param float $totalonlinkedelements  Sum of total amounts (excl VAT) of
+     *                                      invoices linked to $object
+     * @param float $object_total_ht        The total amount (excl VAT) of the object
+     *                                      (an order, a proposal, a bill, etc.)
+     * @return bool  True if the amounts are equal (arithmetic errors within tolerance margin)
+     *               True if the module is configured to skip the amount equality check
+     *               False otherwise.
+     */
+    private function shouldClassify($conf, $totalonlinkedelements, $object_total_ht)
+    {
+        // if the configuration allows unmatching amounts, allow classification anyway
+        if (!empty($conf->global->WORKFLOW_CLASSIFY_IF_AMOUNTS_ARE_DIFFERENTS)) {
+            return true;
+        }
+        // if the rounded amount difference is zero, allow classification, else deny
+        return 0 == round(
+            $totalonlinkedelements - $object_total_ht,
+            $conf->global->MAIN_MAX_DECIMALS_UNIT
+        );
+    }
 }