#### Solution for 12.2 is what percent of 29.5:

12.2:29.5*100 =

(12.2*100):29.5 =

1220:29.5 = 41.35593220339

Now we have: 12.2 is what percent of 29.5 = 41.35593220339

Question: 12.2 is what percent of 29.5?

Percentage solution with steps:

Step 1: We make the assumption that 29.5 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\%}={29.5}.

Step 4: In the same vein, {x\%}={12.2}.

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

{100\%}={29.5}(1).

{x\%}={12.2}(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{29.5}{12.2}

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

\frac{x\%}{100\%}=\frac{12.2}{29.5}

\Rightarrow{x} = {41.35593220339\%}

Therefore, {12.2} is {41.35593220339\%} of {29.5}.

#### Solution for 29.5 is what percent of 12.2:

29.5:12.2*100 =

(29.5*100):12.2 =

2950:12.2 = 241.80327868852

Now we have: 29.5 is what percent of 12.2 = 241.80327868852

Question: 29.5 is what percent of 12.2?

Percentage solution with steps:

Step 1: We make the assumption that 12.2 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\%}={12.2}.

Step 4: In the same vein, {x\%}={29.5}.

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

{100\%}={12.2}(1).

{x\%}={29.5}(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{12.2}{29.5}

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

\frac{x\%}{100\%}=\frac{29.5}{12.2}

\Rightarrow{x} = {241.80327868852\%}

Therefore, {29.5} is {241.80327868852\%} of {12.2}.

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