#### Solution for 11 is what percent of 213:

11:213*100 =

(11*100):213 =

1100:213 = 5.16

Now we have: 11 is what percent of 213 = 5.16

Question: 11 is what percent of 213?

Percentage solution with steps:

Step 1: We make the assumption that 213 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\%}={213}.

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

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

{100\%}={213}(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{213}{11}

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

\frac{x\%}{100\%}=\frac{11}{213}

\Rightarrow{x} = {5.16\%}

Therefore, {11} is {5.16\%} of {213}.

#### Solution for 213 is what percent of 11:

213:11*100 =

(213*100):11 =

21300:11 = 1936.36

Now we have: 213 is what percent of 11 = 1936.36

Question: 213 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\%}={213}.

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

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

{x\%}={213}(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}{213}

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

\frac{x\%}{100\%}=\frac{213}{11}

\Rightarrow{x} = {1936.36\%}

Therefore, {213} is {1936.36\%} of {11}.

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