#### Solution for 16 is what percent of 36:

16:36*100 =

( 16*100):36 =

1600:36 = 44.44

Now we have: 16 is what percent of 36 = 44.44

Question: 16 is what percent of 36?

Percentage solution with steps:

Step 1: We make the assumption that 36 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\%}={36}.

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

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

{100\%}={36}(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{36}{ 16}

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

\frac{x\%}{100\%}=\frac{ 16}{36}

\Rightarrow{x} = {44.44\%}

Therefore, { 16} is {44.44\%} of {36}.

#### Solution for 36 is what percent of 16:

36: 16*100 =

(36*100): 16 =

3600: 16 = 225

Now we have: 36 is what percent of 16 = 225

Question: 36 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\%}={36}.

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

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

{x\%}={36}(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}{36}

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

\frac{x\%}{100\%}=\frac{36}{ 16}

\Rightarrow{x} = {225\%}

Therefore, {36} is {225\%} of { 16}.

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