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Solution for 100.8 is what percent of 96:

100.8:96*100 =

(100.8*100):96 =

10080:96 = 105

Now we have: 100.8 is what percent of 96 = 105

Question: 100.8 is what percent of 96?

Percentage solution with steps:

Step 1: We make the assumption that 96 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\%}={96}.

Step 4: In the same vein, {x\%}={100.8}.

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

{100\%}={96}(1).

{x\%}={100.8}(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

\frac{100\%}{x\%}=\frac{96}{100.8}

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

\frac{x\%}{100\%}=\frac{100.8}{96}

\Rightarrow{x} = {105\%}

Therefore, {100.8} is {105\%} of {96}.

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• 100.8 is what percent of 100 = 100.8

Solution for 96 is what percent of 100.8:

96:100.8*100 =

(96*100):100.8 =

9600:100.8 = 95.238095238095

Now we have: 96 is what percent of 100.8 = 95.238095238095

Question: 96 is what percent of 100.8?

Percentage solution with steps:

Step 1: We make the assumption that 100.8 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\%}={100.8}.

Step 4: In the same vein, {x\%}={96}.

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

{100\%}={100.8}(1).

{x\%}={96}(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

\frac{100\%}{x\%}=\frac{100.8}{96}

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

\frac{x\%}{100\%}=\frac{96}{100.8}

\Rightarrow{x} = {95.238095238095\%}

Therefore, {96} is {95.238095238095\%} of {100.8}.