To the nearest tenth of a precent, 78 is what precent of 82

95.1

Step-By-Step Explanation

78:82*100 =

(78*100) : 82 =

7800:82 = 95.12

Now we have: 78 is what percent of 82 = 95.12

Question: 78 is what percent of 82?

Percentage solution with steps:

Step 1: We make the assumption that 82 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%=82

Step 4: In the same vein, x%=78

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

$100/%=82 (1)

$x/%=78 (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% over x% = 82 over 78

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

x% over 100% = 78 over 82

x = 95.12%

Therefore, 78 is 95.12% of 82

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