# Percentage Calculator

### 16 is what percent of 338?

#### Solution for 16 is what percent of 338:

16:338*100 =

(16*100):338 =

1600:338 = 4.73

**Now we have: 16 is what percent of 338 = 4.73**

**Question: 16 is what percent of 338?**

Percentage solution with steps:

Step 1: We make the assumption that 338 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\%}={338}.

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

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

{100\%}={338}(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{338}{16}

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

\frac{x\%}{100\%}=\frac{16}{338}

\Rightarrow{x} = {4.73\%}

Therefore, {16} is {4.73\%} of {338}.

#### Solution for 338 is what percent of 16:

338:16*100 =

(338*100):16 =

33800:16 = 2112.5

**Now we have: 338 is what percent of 16 = 2112.5**

**Question: 338 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\%}={338}.

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

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

{x\%}={338}(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}{338}

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

\frac{x\%}{100\%}=\frac{338}{16}

\Rightarrow{x} = {2112.5\%}

Therefore, {338} is {2112.5\%} of {16}.

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