#### Solution for 16.07 is what percent of 30:

16.07:30*100 =

(16.07*100):30 =

1607:30 = 53.566666666667

Now we have: 16.07 is what percent of 30 = 53.566666666667

Question: 16.07 is what percent of 30?

Percentage solution with steps:

Step 1: We make the assumption that 30 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\%}={30}.

Step 4: In the same vein, {x\%}={16.07}.

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

{100\%}={30}(1).

{x\%}={16.07}(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{30}{16.07}

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

\frac{x\%}{100\%}=\frac{16.07}{30}

\Rightarrow{x} = {53.566666666667\%}

Therefore, {16.07} is {53.566666666667\%} of {30}.

#### Solution for 30 is what percent of 16.07:

30:16.07*100 =

(30*100):16.07 =

3000:16.07 = 186.68326073429

Now we have: 30 is what percent of 16.07 = 186.68326073429

Question: 30 is what percent of 16.07?

Percentage solution with steps:

Step 1: We make the assumption that 16.07 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\%}={16.07}.

Step 4: In the same vein, {x\%}={30}.

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

{100\%}={16.07}(1).

{x\%}={30}(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{16.07}{30}

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

\frac{x\%}{100\%}=\frac{30}{16.07}

\Rightarrow{x} = {186.68326073429\%}

Therefore, {30} is {186.68326073429\%} of {16.07}.

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