#### Solution for 1.1 is what percent of 12.4:

1.1:12.4*100 =

(1.1*100):12.4 =

110:12.4 = 8.8709677419355

Now we have: 1.1 is what percent of 12.4 = 8.8709677419355

Question: 1.1 is what percent of 12.4?

Percentage solution with steps:

Step 1: We make the assumption that 12.4 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\%}={12.4}.

Step 4: In the same vein, {x\%}={1.1}.

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

{100\%}={12.4}(1).

{x\%}={1.1}(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{12.4}{1.1}

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

\frac{x\%}{100\%}=\frac{1.1}{12.4}

\Rightarrow{x} = {8.8709677419355\%}

Therefore, {1.1} is {8.8709677419355\%} of {12.4}.

#### Solution for 12.4 is what percent of 1.1:

12.4:1.1*100 =

(12.4*100):1.1 =

1240:1.1 = 1127.2727272727

Now we have: 12.4 is what percent of 1.1 = 1127.2727272727

Question: 12.4 is what percent of 1.1?

Percentage solution with steps:

Step 1: We make the assumption that 1.1 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\%}={1.1}.

Step 4: In the same vein, {x\%}={12.4}.

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

{100\%}={1.1}(1).

{x\%}={12.4}(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{1.1}{12.4}

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

\frac{x\%}{100\%}=\frac{12.4}{1.1}

\Rightarrow{x} = {1127.2727272727\%}

Therefore, {12.4} is {1127.2727272727\%} of {1.1}.

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