#### Solution for 8 is what percent of 13.5:

8:13.5*100 =

(8*100):13.5 =

800:13.5 = 59.259259259259

Now we have: 8 is what percent of 13.5 = 59.259259259259

Question: 8 is what percent of 13.5?

Percentage solution with steps:

Step 1: We make the assumption that 13.5 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\%}={13.5}.

Step 4: In the same vein, {x\%}={8}.

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

{100\%}={13.5}(1).

{x\%}={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{13.5}{8}

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

\frac{x\%}{100\%}=\frac{8}{13.5}

\Rightarrow{x} = {59.259259259259\%}

Therefore, {8} is {59.259259259259\%} of {13.5}.

#### Solution for 13.5 is what percent of 8:

13.5:8*100 =

(13.5*100):8 =

1350:8 = 168.75

Now we have: 13.5 is what percent of 8 = 168.75

Question: 13.5 is what percent of 8?

Percentage solution with steps:

Step 1: We make the assumption that 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\%}={8}.

Step 4: In the same vein, {x\%}={13.5}.

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

{100\%}={8}(1).

{x\%}={13.5}(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{8}{13.5}

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

\frac{x\%}{100\%}=\frac{13.5}{8}

\Rightarrow{x} = {168.75\%}

Therefore, {13.5} is {168.75\%} of {8}.

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