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Solution for 96 is what percent of 284:

96:284*100 =

(96*100):284 =

9600:284 = 33.8

Now we have: 96 is what percent of 284 = 33.8

Question: 96 is what percent of 284?

Percentage solution with steps:

Step 1: We make the assumption that 284 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\%}={284}.

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

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

{100\%}={284}(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{284}{96}

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

\frac{x\%}{100\%}=\frac{96}{284}

\Rightarrow{x} = {33.8\%}

Therefore, {96} is {33.8\%} of {284}.

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Solution for 284 is what percent of 96:

284:96*100 =

(284*100):96 =

28400:96 = 295.83

Now we have: 284 is what percent of 96 = 295.83

Question: 284 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\%}={284}.

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

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

{x\%}={284}(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}{284}

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

\frac{x\%}{100\%}=\frac{284}{96}

\Rightarrow{x} = {295.83\%}

Therefore, {284} is {295.83\%} of {96}.