# Percentage Calculator

### 5 is what percent of 13?

#### Solution for 5 is what percent of 13:

5:13*100 =

( 5*100):13 =

500:13 = 38.46

**Now we have: 5 is what percent of 13 = 38.46**

**Question: 5 is what percent of 13?**

Percentage solution with steps:

Step 1: We make the assumption that 13 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\%}={13}.

Step 4: In the same vein, {x\%}={ 5}.

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

{100\%}={13}(1).

{x\%}={ 5}(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{13}{ 5}

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

\frac{x\%}{100\%}=\frac{ 5}{13}

\Rightarrow{x} = {38.46\%}

Therefore, { 5} is {38.46\%} of {13}.

#### Solution for 13 is what percent of 5:

13: 5*100 =

(13*100): 5 =

1300: 5 = 260

**Now we have: 13 is what percent of 5 = 260**

**Question: 13 is what percent of 5?**

Percentage solution with steps:

Step 1: We make the assumption that 5 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}.

Step 4: In the same vein, {x\%}={13}.

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

{100\%}={ 5}(1).

{x\%}={13}(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}{13}

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

\frac{x\%}{100\%}=\frac{13}{ 5}

\Rightarrow{x} = {260\%}

Therefore, {13} is {260\%} of { 5}.

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