#### Solution for 8.00 is what percent of 27:

8.00:27*100 =

(8.00*100):27 =

800:27 = 29.62962962963

Now we have: 8.00 is what percent of 27 = 29.62962962963

Question: 8.00 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\%}={8.00}.

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

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

{x\%}={8.00}(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}{8.00}

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

\frac{x\%}{100\%}=\frac{8.00}{27}

\Rightarrow{x} = {29.62962962963\%}

Therefore, {8.00} is {29.62962962963\%} of {27}.

#### Solution for 27 is what percent of 8.00:

27:8.00*100 =

(27*100):8.00 =

2700:8.00 = 337.5

Now we have: 27 is what percent of 8.00 = 337.5

Question: 27 is what percent of 8.00?

Percentage solution with steps:

Step 1: We make the assumption that 8.00 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\%}={8.00}.

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

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

{100\%}={8.00}(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{8.00}{27}

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

\frac{x\%}{100\%}=\frac{27}{8.00}

\Rightarrow{x} = {337.5\%}

Therefore, {27} is {337.5\%} of {8.00}.

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