Question

Enter the unknown value that makes this statement true:

45 is
% of 50.

Answer 1

90%

Explanation:

Step 1: We make the assumption that 50 is 100% since it is our output value.

Step 2: We next represent the value we seek with X.

Step 3: From step 1, it follows that 100%=50.

Step 4: In the same vein, X%=45.

Step 5: This gives us a pair of simple equations:

100%=50(1)

X%=45(2)

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); We have

100%/X% = 50/45

Step 7: Taking the inverse (or reciprocal) of both sides yields

X%/100% = 45/50

X= 90%

Therefore, 45 is 90% of 50.