#### Solution for 3.3 is what percent of 12.4:

3.3: 12.4*100 =

(3.3*100): 12.4 =

330: 12.4 = 26.612903225806

Now we have: 3.3 is what percent of 12.4 = 26.612903225806

Question: 3.3 is what percent of 12.4?

Percentage solution with steps:

Step 1: We make the assumption that 12.4 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\%}={ 12.4}.

Step 4: In the same vein, {x\%}={3.3}.

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

{100\%}={ 12.4}(1).

{x\%}={3.3}(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{ 12.4}{3.3}

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

\frac{x\%}{100\%}=\frac{3.3}{ 12.4}

\Rightarrow{x} = {26.612903225806\%}

Therefore, {3.3} is {26.612903225806\%} of { 12.4}.

#### Solution for 12.4 is what percent of 3.3:

12.4:3.3*100 =

( 12.4*100):3.3 =

1240:3.3 = 375.75757575758

Now we have: 12.4 is what percent of 3.3 = 375.75757575758

Question: 12.4 is what percent of 3.3?

Percentage solution with steps:

Step 1: We make the assumption that 3.3 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\%}={3.3}.

Step 4: In the same vein, {x\%}={ 12.4}.

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

{100\%}={3.3}(1).

{x\%}={ 12.4}(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{3.3}{ 12.4}

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

\frac{x\%}{100\%}=\frac{ 12.4}{3.3}

\Rightarrow{x} = {375.75757575758\%}

Therefore, { 12.4} is {375.75757575758\%} of {3.3}.

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