#### Solution for 11 is what percent of 361:

11:361*100 =

(11*100):361 =

1100:361 = 3.05

Now we have: 11 is what percent of 361 = 3.05

Question: 11 is what percent of 361?

Percentage solution with steps:

Step 1: We make the assumption that 361 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\%}={361}.

Step 4: In the same vein, {x\%}={11}.

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

{100\%}={361}(1).

{x\%}={11}(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{361}{11}

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

\frac{x\%}{100\%}=\frac{11}{361}

\Rightarrow{x} = {3.05\%}

Therefore, {11} is {3.05\%} of {361}.

#### Solution for 361 is what percent of 11:

361:11*100 =

(361*100):11 =

36100:11 = 3281.82

Now we have: 361 is what percent of 11 = 3281.82

Question: 361 is what percent of 11?

Percentage solution with steps:

Step 1: We make the assumption that 11 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\%}={11}.

Step 4: In the same vein, {x\%}={361}.

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

{100\%}={11}(1).

{x\%}={361}(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{11}{361}

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

\frac{x\%}{100\%}=\frac{361}{11}

\Rightarrow{x} = {3281.82\%}

Therefore, {361} is {3281.82\%} of {11}.

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