# Percentage Calculator

### 15 is what percent of 20.8?

#### Solution for 15 is what percent of 20.8:

15:20.8*100 =

(15*100):20.8 =

1500:20.8 = 72.115384615385

**Now we have: 15 is what percent of 20.8 = 72.115384615385**

**Question: 15 is what percent of 20.8?**

Percentage solution with steps:

Step 1: We make the assumption that 20.8 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\%}={20.8}.

Step 4: In the same vein, {x\%}={15}.

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

{100\%}={20.8}(1).

{x\%}={15}(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{20.8}{15}

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

\frac{x\%}{100\%}=\frac{15}{20.8}

\Rightarrow{x} = {72.115384615385\%}

Therefore, {15} is {72.115384615385\%} of {20.8}.

#### Solution for 20.8 is what percent of 15:

20.8:15*100 =

(20.8*100):15 =

2080:15 = 138.66666666667

**Now we have: 20.8 is what percent of 15 = 138.66666666667**

**Question: 20.8 is what percent of 15?**

Percentage solution with steps:

Step 1: We make the assumption that 15 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}.

Step 4: In the same vein, {x\%}={20.8}.

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

{100\%}={15}(1).

{x\%}={20.8}(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}{20.8}

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

\frac{x\%}{100\%}=\frac{20.8}{15}

\Rightarrow{x} = {138.66666666667\%}

Therefore, {20.8} is {138.66666666667\%} of {15}.