# Percentage Calculator

### 6.38 is what percent of 7.75?

#### Solution for 6.38 is what percent of 7.75:

6.38:7.75*100 =

(6.38*100):7.75 =

638:7.75 = 82.322580645161

**Now we have: 6.38 is what percent of 7.75 = 82.322580645161**

**Question: 6.38 is what percent of 7.75?**

Percentage solution with steps:

Step 1: We make the assumption that 7.75 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\%}={7.75}.

Step 4: In the same vein, {x\%}={6.38}.

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

{100\%}={7.75}(1).

{x\%}={6.38}(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{7.75}{6.38}

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

\frac{x\%}{100\%}=\frac{6.38}{7.75}

\Rightarrow{x} = {82.322580645161\%}

Therefore, {6.38} is {82.322580645161\%} of {7.75}.

#### Solution for 7.75 is what percent of 6.38:

7.75:6.38*100 =

(7.75*100):6.38 =

775:6.38 = 121.47335423197

**Now we have: 7.75 is what percent of 6.38 = 121.47335423197**

**Question: 7.75 is what percent of 6.38?**

Percentage solution with steps:

Step 1: We make the assumption that 6.38 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\%}={6.38}.

Step 4: In the same vein, {x\%}={7.75}.

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

{100\%}={6.38}(1).

{x\%}={7.75}(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{6.38}{7.75}

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

\frac{x\%}{100\%}=\frac{7.75}{6.38}

\Rightarrow{x} = {121.47335423197\%}

Therefore, {7.75} is {121.47335423197\%} of {6.38}.

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