#### Solution for 16 is what percent of 16400:

16:16400*100 =

(16*100):16400 =

1600:16400 = 0.1

Now we have: 16 is what percent of 16400 = 0.1

Question: 16 is what percent of 16400?

Percentage solution with steps:

Step 1: We make the assumption that 16400 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\%}={16400}.

Step 4: In the same vein, {x\%}={16}.

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

{100\%}={16400}(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{16400}{16}

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

\frac{x\%}{100\%}=\frac{16}{16400}

\Rightarrow{x} = {0.1\%}

Therefore, {16} is {0.1\%} of {16400}.

#### Solution for 16400 is what percent of 16:

16400:16*100 =

(16400*100):16 =

1640000:16 = 102500

Now we have: 16400 is what percent of 16 = 102500

Question: 16400 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\%}={16400}.

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

{100\%}={16}(1).

{x\%}={16400}(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}{16400}

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

\frac{x\%}{100\%}=\frac{16400}{16}

\Rightarrow{x} = {102500\%}

Therefore, {16400} is {102500\%} of {16}.

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