#### Solution for 27 is what percent of 801:

27:801*100 =

(27*100):801 =

2700:801 = 3.37

Now we have: 27 is what percent of 801 = 3.37

Question: 27 is what percent of 801?

Percentage solution with steps:

Step 1: We make the assumption that 801 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\%}={801}.

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

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

{100\%}={801}(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{801}{27}

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

\frac{x\%}{100\%}=\frac{27}{801}

\Rightarrow{x} = {3.37\%}

Therefore, {27} is {3.37\%} of {801}.

#### Solution for 801 is what percent of 27:

801:27*100 =

(801*100):27 =

80100:27 = 2966.67

Now we have: 801 is what percent of 27 = 2966.67

Question: 801 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\%}={801}.

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

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

{x\%}={801}(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}{801}

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

\frac{x\%}{100\%}=\frac{801}{27}

\Rightarrow{x} = {2966.67\%}

Therefore, {801} is {2966.67\%} of {27}.

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