Percentage Calculator: 3 is what percent of 96? = 3.13

Solution for 3 is what percent of 96:

3:96*100 =

(3*100):96 =

300:96 = 3.13

Now we have: 3 is what percent of 96 = 3.13

Question: 3 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\%}={3}.

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

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

{x\%}={3}(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}{3}

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

\frac{x\%}{100\%}=\frac{3}{96}

\Rightarrow{x} = {3.13\%}

Therefore, {3} is {3.13\%} of {96}.

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Solution for 96 is what percent of 3:

96:3*100 =

(96*100):3 =

9600:3 = 3200

Now we have: 96 is what percent of 3 = 3200

Question: 96 is what percent of 3?

Percentage solution with steps:

Step 1: We make the assumption that 3 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\%}={3}.

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

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

{100\%}={3}(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{3}{96}

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

\frac{x\%}{100\%}=\frac{96}{3}

\Rightarrow{x} = {3200\%}

Therefore, {96} is {3200\%} of {3}.

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