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Solution for 3 is what percent of 12.40:

3:12.40*100 =

(3*100):12.40 =

300:12.40 = 24.193548387097

Now we have: 3 is what percent of 12.40 = 24.193548387097

Question: 3 is what percent of 12.40?

Percentage solution with steps:

Step 1: We make the assumption that 12.40 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\%}={12.40}.

Step 4: In the same vein, {x\%}={3}.

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

{100\%}={12.40}(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{12.40}{3}

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

\frac{x\%}{100\%}=\frac{3}{12.40}

\Rightarrow{x} = {24.193548387097\%}

Therefore, {3} is {24.193548387097\%} of {12.40}.

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Solution for 12.40 is what percent of 3:

12.40:3*100 =

(12.40*100):3 =

1240:3 = 413.33333333333

Now we have: 12.40 is what percent of 3 = 413.33333333333

Question: 12.40 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\%}={12.40}.

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

{100\%}={3}(1).

{x\%}={12.40}(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}{12.40}

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

\frac{x\%}{100\%}=\frac{12.40}{3}

\Rightarrow{x} = {413.33333333333\%}

Therefore, {12.40} is {413.33333333333\%} of {3}.