Irene R. answered 04/10/20
BS in Mechanical Engineering and Certified math teacher for 13 years
A percent is a ratio that compares a number to 100. For this situation, 34 out of 40 students passed the final exam.
We need to find an equivalent ratio with a denominator of 100 to determine the percent:
34 = x
40 100
Note that 34/40 is equivalent to 17/20. We can write :
17 = x
20 100
Now multiply 20 by 5 and 17 by 5 to determine the percent:
17 • 5 = x
20 • 5 100
x = 85
85 is equal to 85%.
100
NOTE: You could also divide 17 by 40 and convert the resulting decimal value to a percent:
34/40 = 0.85 * 100 = 85%