# Percentage Calculator

### 4.8 is what percent of 15.6?

#### Solution for 4.8 is what percent of 15.6:

4.8:15.6*100 =

(4.8*100):15.6 =

480:15.6 = 30.769230769231

**Now we have: 4.8 is what percent of 15.6 = 30.769230769231**

**Question: 4.8 is what percent of 15.6?**

Percentage solution with steps:

Step 1: We make the assumption that 15.6 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\%}={15.6}.

Step 4: In the same vein, {x\%}={4.8}.

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

{100\%}={15.6}(1).

{x\%}={4.8}(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{15.6}{4.8}

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

\frac{x\%}{100\%}=\frac{4.8}{15.6}

\Rightarrow{x} = {30.769230769231\%}

Therefore, {4.8} is {30.769230769231\%} of {15.6}.

#### Solution for 15.6 is what percent of 4.8:

15.6:4.8*100 =

(15.6*100):4.8 =

1560:4.8 = 325

**Now we have: 15.6 is what percent of 4.8 = 325**

**Question: 15.6 is what percent of 4.8?**

Percentage solution with steps:

Step 1: We make the assumption that 4.8 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\%}={4.8}.

Step 4: In the same vein, {x\%}={15.6}.

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

{100\%}={4.8}(1).

{x\%}={15.6}(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{4.8}{15.6}

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

\frac{x\%}{100\%}=\frac{15.6}{4.8}

\Rightarrow{x} = {325\%}

Therefore, {15.6} is {325\%} of {4.8}.

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