You can set this up as an equation
Worker 1 produces x parts
Worker 2 produces x+0.15x parts (0.15x is 15% of x)
Thus the equation would be
x+x+0.15x=86
You can solve that for x, which will be the number of parts worker 1 produces
x=40
now we can solve for what worker 2 produces
40+0.15(40)=46 (**since there are two workers, you could also just subtract the parts produced by worker 1 from the total number)
so,
worker 1 produces 40 parts and worker 2 produces 46 parts