If consumers spend 80 cents out of each dollar of disposable income, we can conclude that the government spending multiplier in a simple Keynesian model is 20.
The multiplier will be 1 / (1 - MPC) or 1 / MPS = 1 / 0.2 = 5.
Autonomous expenditure multiplier will be 5/4, that is, an increase of $ 400 billion in autonomous expenditure will lead to an increase in GDP of $ 500 billion.
To cause real GDP to rise by 100 billion, autonomous expenditure have to increase of 80 billion.