# Percentage Calculator

### 20 is what percent of 27.45?

#### Solution for 20 is what percent of 27.45:

20:27.45*100 =

(20*100):27.45 =

2000:27.45 = 72.859744990893

**Now we have: 20 is what percent of 27.45 = 72.859744990893**

**Question: 20 is what percent of 27.45?**

Percentage solution with steps:

Step 1: We make the assumption that 27.45 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\%}={27.45}.

Step 4: In the same vein, {x\%}={20}.

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

{100\%}={27.45}(1).

{x\%}={20}(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{27.45}{20}

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

\frac{x\%}{100\%}=\frac{20}{27.45}

\Rightarrow{x} = {72.859744990893\%}

Therefore, {20} is {72.859744990893\%} of {27.45}.

#### Solution for 27.45 is what percent of 20:

27.45:20*100 =

(27.45*100):20 =

2745:20 = 137.25

**Now we have: 27.45 is what percent of 20 = 137.25**

**Question: 27.45 is what percent of 20?**

Percentage solution with steps:

Step 1: We make the assumption that 20 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}.

Step 4: In the same vein, {x\%}={27.45}.

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

{100\%}={20}(1).

{x\%}={27.45}(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}{27.45}

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

\frac{x\%}{100\%}=\frac{27.45}{20}

\Rightarrow{x} = {137.25\%}

Therefore, {27.45} is {137.25\%} of {20}.

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