Percentage Calculator: 3 is what percent of 24? = 12.5

Solution for 3 is what percent of 24:

3:24*100 =

(3*100):24 =

300:24 = 12.5

Now we have: 3 is what percent of 24 = 12.5

Question: 3 is what percent of 24?

Percentage solution with steps:

Step 1: We make the assumption that 24 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\%}={24}.

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

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

{100\%}={24}(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{24}{3}

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

\frac{x\%}{100\%}=\frac{3}{24}

\Rightarrow{x} = {12.5\%}

Therefore, {3} is {12.5\%} of {24}.

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Solution for 24 is what percent of 3:

24:3*100 =

(24*100):3 =

2400:3 = 800

Now we have: 24 is what percent of 3 = 800

Question: 24 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\%}={24}.

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

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

{x\%}={24}(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}{24}

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

\frac{x\%}{100\%}=\frac{24}{3}

\Rightarrow{x} = {800\%}

Therefore, {24} is {800\%} of {3}.

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