# Percentage Calculator

### 5.15 is what percent of 6?

#### Solution for 5.15 is what percent of 6:

5.15:6*100 =

(5.15*100):6 =

515:6 = 85.833333333333

**Now we have: 5.15 is what percent of 6 = 85.833333333333**

**Question: 5.15 is what percent of 6?**

Percentage solution with steps:

Step 1: We make the assumption that 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\%}={6}.

Step 4: In the same vein, {x\%}={5.15}.

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

{100\%}={6}(1).

{x\%}={5.15}(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{6}{5.15}

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

\frac{x\%}{100\%}=\frac{5.15}{6}

\Rightarrow{x} = {85.833333333333\%}

Therefore, {5.15} is {85.833333333333\%} of {6}.

#### Solution for 6 is what percent of 5.15:

6:5.15*100 =

(6*100):5.15 =

600:5.15 = 116.50485436893

**Now we have: 6 is what percent of 5.15 = 116.50485436893**

**Question: 6 is what percent of 5.15?**

Percentage solution with steps:

Step 1: We make the assumption that 5.15 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\%}={5.15}.

Step 4: In the same vein, {x\%}={6}.

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

{100\%}={5.15}(1).

{x\%}={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{5.15}{6}

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

\frac{x\%}{100\%}=\frac{6}{5.15}

\Rightarrow{x} = {116.50485436893\%}

Therefore, {6} is {116.50485436893\%} of {5.15}.

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