#### Solution for 13.6 is what percent of 100:

13.6:100*100 =

(13.6*100):100 =

1360:100 = 13.6

Now we have: 13.6 is what percent of 100 = 13.6

Question: 13.6 is what percent of 100?

Percentage solution with steps:

Step 1: We make the assumption that 100 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\%}={100}.

Step 4: In the same vein, {x\%}={13.6}.

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

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

{x\%}={13.6}(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{100}{13.6}

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

\frac{x\%}{100\%}=\frac{13.6}{100}

\Rightarrow{x} = {13.6\%}

Therefore, {13.6} is {13.6\%} of {100}.

#### Solution for 100 is what percent of 13.6:

100:13.6*100 =

(100*100):13.6 =

10000:13.6 = 735.29411764706

Now we have: 100 is what percent of 13.6 = 735.29411764706

Question: 100 is what percent of 13.6?

Percentage solution with steps:

Step 1: We make the assumption that 13.6 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\%}={13.6}.

Step 4: In the same vein, {x\%}={100}.

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

{100\%}={13.6}(1).

{x\%}={100}(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{13.6}{100}

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

\frac{x\%}{100\%}=\frac{100}{13.6}

\Rightarrow{x} = {735.29411764706\%}

Therefore, {100} is {735.29411764706\%} of {13.6}.

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