# Percentage Calculator

### 5.3 is what percent of 15.3?

#### Solution for 5.3 is what percent of 15.3:

5.3:15.3*100 =

(5.3*100):15.3 =

530:15.3 = 34.640522875817

**Now we have: 5.3 is what percent of 15.3 = 34.640522875817**

**Question: 5.3 is what percent of 15.3?**

Percentage solution with steps:

Step 1: We make the assumption that 15.3 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\%}={15.3}.

Step 4: In the same vein, {x\%}={5.3}.

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

{100\%}={15.3}(1).

{x\%}={5.3}(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{15.3}{5.3}

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

\frac{x\%}{100\%}=\frac{5.3}{15.3}

\Rightarrow{x} = {34.640522875817\%}

Therefore, {5.3} is {34.640522875817\%} of {15.3}.

#### Solution for 15.3 is what percent of 5.3:

15.3:5.3*100 =

(15.3*100):5.3 =

1530:5.3 = 288.67924528302

**Now we have: 15.3 is what percent of 5.3 = 288.67924528302**

**Question: 15.3 is what percent of 5.3?**

Percentage solution with steps:

Step 1: We make the assumption that 5.3 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\%}={5.3}.

Step 4: In the same vein, {x\%}={15.3}.

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

{100\%}={5.3}(1).

{x\%}={15.3}(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{5.3}{15.3}

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

\frac{x\%}{100\%}=\frac{15.3}{5.3}

\Rightarrow{x} = {288.67924528302\%}

Therefore, {15.3} is {288.67924528302\%} of {5.3}.

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