# Percentage Calculator

### 6 is what percent of 39?

#### Solution for 6 is what percent of 39:

6:39*100 =

(6*100):39 =

600:39 = 15.38

**Now we have: 6 is what percent of 39 = 15.38**

**Question: 6 is what percent of 39?**

Percentage solution with steps:

Step 1: We make the assumption that 39 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\%}={39}.

Step 4: In the same vein, {x\%}={6}.

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

{100\%}={39}(1).

{x\%}={6}(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{39}{6}

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

\frac{x\%}{100\%}=\frac{6}{39}

\Rightarrow{x} = {15.38\%}

Therefore, {6} is {15.38\%} of {39}.

#### Solution for 39 is what percent of 6:

39:6*100 =

(39*100):6 =

3900:6 = 650

**Now we have: 39 is what percent of 6 = 650**

**Question: 39 is what percent of 6?**

Percentage solution with steps:

Step 1: We make the assumption that 6 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\%}={6}.

Step 4: In the same vein, {x\%}={39}.

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

{100\%}={6}(1).

{x\%}={39}(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{6}{39}

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

\frac{x\%}{100\%}=\frac{39}{6}

\Rightarrow{x} = {650\%}

Therefore, {39} is {650\%} of {6}.

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