#### Solution for 16 is what percent of 24:

16:24*100 =

(16*100):24 =

1600:24 = 66.67

Now we have: 16 is what percent of 24 = 66.67

Question: 16 is what percent of 24?

Percentage solution with steps:

Step 1: We make the assumption that 24 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\%}={24}.

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

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

{100\%}={24}(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{24}{16}

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

\frac{x\%}{100\%}=\frac{16}{24}

\Rightarrow{x} = {66.67\%}

Therefore, {16} is {66.67\%} of {24}.

#### Solution for 24 is what percent of 16:

24:16*100 =

(24*100):16 =

2400:16 = 150

Now we have: 24 is what percent of 16 = 150

Question: 24 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\%}={24}.

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

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

{x\%}={24}(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}{24}

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

\frac{x\%}{100\%}=\frac{24}{16}

\Rightarrow{x} = {150\%}

Therefore, {24} is {150\%} of {16}.

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