"This was the biggest test for us, " De Bruyne said.
The second goal was a textbook counter-attack.
France has gone on to reach the World Cup final the last two times it advanced to the semifinals.
The Selecao entered the tournament as the top favourites for the title but had yet to face a class outfit like Belgium, and the Red Devils came out on top to set up a semi-final date with France.
While England's clash with Sweden tomorrow afternoon is dominating the media landscape, ahead of Saturday night's showdown between hosts Russian Federation and Croatia, today's two matches promise quality in abundance.
The two sides have played each other four times previously, with Brazil winning three.
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Belgium coach Roberto Martinez said Brazil refused to accept that the five-time World Cup champions had more talent. The current generation of Brazil stars will no doubt be hoping for a similar outcome this time as well.
Since beating Germany 2-0 in the 2002 World Cup final, the five-time victor has been eliminated by European sides in the three subsequent competitions. They have qualified for six consecutive World Cups, but have never progressed beyond the second round during this period.
"It's incredible. This team wants to win every game, against England people said it was better to lose but we won the game, we have confidence in our team".
Both teams have looked unbelievable to this point, so Courtois will try to lead Belgium's golden generation to another win and an appearance in the final.
Not when Courtois was proving to be an impenetrable barrier in the Belgium goal, denying Marcelo's strike before the lead was extended. But as the referee started to seek a video review, Neymar appeared to urge against it. It was his second yellow of the tournament and that see's him sitting out of today's match.
But reaching the last four looked an increasingly unlikely proposition.
Augusto, who went on three minutes earlier as a replacement for Paulinho, connected with a cross from Philippe Coutinho and headed the ball into the net to beat 'keeper Thibaut Courtois in the 76th minute.
"We're in the last four and we're happy, but you want to go to the final and play in the match the whole world will be watching and you want to do all you can to get there. This is something special".