#### Solution for 12.11 is what percent of 48.42:

12.11:48.42*100 =

(12.11*100):48.42 =

1211:48.42 = 25.010326311442

Now we have: 12.11 is what percent of 48.42 = 25.010326311442

Question: 12.11 is what percent of 48.42?

Percentage solution with steps:

Step 1: We make the assumption that 48.42 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\%}={48.42}.

Step 4: In the same vein, {x\%}={12.11}.

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

{100\%}={48.42}(1).

{x\%}={12.11}(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{48.42}{12.11}

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

\frac{x\%}{100\%}=\frac{12.11}{48.42}

\Rightarrow{x} = {25.010326311442\%}

Therefore, {12.11} is {25.010326311442\%} of {48.42}.

#### Solution for 48.42 is what percent of 12.11:

48.42:12.11*100 =

(48.42*100):12.11 =

4842:12.11 = 399.83484723369

Now we have: 48.42 is what percent of 12.11 = 399.83484723369

Question: 48.42 is what percent of 12.11?

Percentage solution with steps:

Step 1: We make the assumption that 12.11 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\%}={12.11}.

Step 4: In the same vein, {x\%}={48.42}.

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

{100\%}={12.11}(1).

{x\%}={48.42}(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{12.11}{48.42}

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

\frac{x\%}{100\%}=\frac{48.42}{12.11}

\Rightarrow{x} = {399.83484723369\%}

Therefore, {48.42} is {399.83484723369\%} of {12.11}.

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