# Percentage Calculator

### 3.5 is what percent of 6?

#### Solution for 3.5 is what percent of 6:

3.5:6*100 =

(3.5*100):6 =

350:6 = 58.333333333333

**Now we have: 3.5 is what percent of 6 = 58.333333333333**

**Question: 3.5 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\%}={3.5}.

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

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

{x\%}={3.5}(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{6}{3.5}

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

\frac{x\%}{100\%}=\frac{3.5}{6}

\Rightarrow{x} = {58.333333333333\%}

Therefore, {3.5} is {58.333333333333\%} of {6}.

#### Solution for 6 is what percent of 3.5:

6:3.5*100 =

(6*100):3.5 =

600:3.5 = 171.42857142857

**Now we have: 6 is what percent of 3.5 = 171.42857142857**

**Question: 6 is what percent of 3.5?**

Percentage solution with steps:

Step 1: We make the assumption that 3.5 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\%}={3.5}.

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

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

{100\%}={3.5}(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{3.5}{6}

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

\frac{x\%}{100\%}=\frac{6}{3.5}

\Rightarrow{x} = {171.42857142857\%}

Therefore, {6} is {171.42857142857\%} of {3.5}.

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