#### Solution for 13.8 is what percent of 27:

13.8:27*100 =

(13.8*100):27 =

1380:27 = 51.111111111111

Now we have: 13.8 is what percent of 27 = 51.111111111111

Question: 13.8 is what percent of 27?

Percentage solution with steps:

Step 1: We make the assumption that 27 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\%}={27}.

Step 4: In the same vein, {x\%}={13.8}.

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

{100\%}={27}(1).

{x\%}={13.8}(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{27}{13.8}

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

\frac{x\%}{100\%}=\frac{13.8}{27}

\Rightarrow{x} = {51.111111111111\%}

Therefore, {13.8} is {51.111111111111\%} of {27}.

#### Solution for 27 is what percent of 13.8:

27:13.8*100 =

(27*100):13.8 =

2700:13.8 = 195.65217391304

Now we have: 27 is what percent of 13.8 = 195.65217391304

Question: 27 is what percent of 13.8?

Percentage solution with steps:

Step 1: We make the assumption that 13.8 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\%}={13.8}.

Step 4: In the same vein, {x\%}={27}.

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

{100\%}={13.8}(1).

{x\%}={27}(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{13.8}{27}

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

\frac{x\%}{100\%}=\frac{27}{13.8}

\Rightarrow{x} = {195.65217391304\%}

Therefore, {27} is {195.65217391304\%} of {13.8}.

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