How do you show work for 60 +30%? (answer should be 78)

30%=30/100=0.3
60+30%=60+0.3=60.3

to obtain 78, hmm
60+18=78
18/60=3/10=30%

what you mean is
find what the value is when you take 30% of 60 and add it to the original number

30% of 60
percent mean sparts out of 100
30%=30/100=0.3

'of' means multiply

30% of 60 means 0.3 times 60 or 18

so
60+30% of 60=60+18=78
hope this is what you were looking for