#### Solution for 16 is what percent of 213:

16:213*100 =

(16*100):213 =

1600:213 = 7.51

Now we have: 16 is what percent of 213 = 7.51

Question: 16 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\%}={16}.

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

{100\%}={213}(1).

{x\%}={16}(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}{16}

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

\frac{x\%}{100\%}=\frac{16}{213}

\Rightarrow{x} = {7.51\%}

Therefore, {16} is {7.51\%} of {213}.

#### Solution for 213 is what percent of 16:

213:16*100 =

(213*100):16 =

21300:16 = 1331.25

Now we have: 213 is what percent of 16 = 1331.25

Question: 213 is what percent of 16?

Percentage solution with steps:

Step 1: We make the assumption that 16 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\%}={16}.

Step 4: In the same vein, {x\%}={213}.

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

{100\%}={16}(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{16}{213}

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

\frac{x\%}{100\%}=\frac{213}{16}

\Rightarrow{x} = {1331.25\%}

Therefore, {213} is {1331.25\%} of {16}.

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