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Solution for 5.0 is what percent of 12:

5.0:12*100 =

(5.0*100):12 =

500:12 = 41.666666666667

Now we have: 5.0 is what percent of 12 = 41.666666666667

Question: 5.0 is what percent of 12?

Percentage solution with steps:

Step 1: We make the assumption that 12 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}.

Step 4: In the same vein, {x\%}={5.0}.

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

{100\%}={12}(1).

{x\%}={5.0}(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}{5.0}

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

\frac{x\%}{100\%}=\frac{5.0}{12}

\Rightarrow{x} = {41.666666666667\%}

Therefore, {5.0} is {41.666666666667\%} of {12}.

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• 5.0 is what percent of 100 = 5

Solution for 12 is what percent of 5.0:

12:5.0*100 =

(12*100):5.0 =

1200:5.0 = 240

Now we have: 12 is what percent of 5.0 = 240

Question: 12 is what percent of 5.0?

Percentage solution with steps:

Step 1: We make the assumption that 5.0 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\%}={5.0}.

Step 4: In the same vein, {x\%}={12}.

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

{100\%}={5.0}(1).

{x\%}={12}(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{5.0}{12}

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

\frac{x\%}{100\%}=\frac{12}{5.0}

\Rightarrow{x} = {240\%}

Therefore, {12} is {240\%} of {5.0}.