# Percentage Calculator

### .65 is what percent of 10.00?

#### Solution for .65 is what percent of 10.00:

.65:10.00*100 =

(.65*100):10.00 =

65:10.00 = 6.5

**Now we have: .65 is what percent of 10.00 = 6.5**

**Question: .65 is what percent of 10.00?**

Percentage solution with steps:

Step 1: We make the assumption that 10.00 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\%}={10.00}.

Step 4: In the same vein, {x\%}={.65}.

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

{100\%}={10.00}(1).

{x\%}={.65}(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{10.00}{.65}

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

\frac{x\%}{100\%}=\frac{.65}{10.00}

\Rightarrow{x} = {6.5\%}

Therefore, {.65} is {6.5\%} of {10.00}.

#### Solution for 10.00 is what percent of .65:

10.00:.65*100 =

(10.00*100):.65 =

1000:.65 = 1538.4615384615

**Now we have: 10.00 is what percent of .65 = 1538.4615384615**

**Question: 10.00 is what percent of .65?**

Percentage solution with steps:

Step 1: We make the assumption that .65 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\%}={.65}.

Step 4: In the same vein, {x\%}={10.00}.

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

{100\%}={.65}(1).

{x\%}={10.00}(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{.65}{10.00}

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

\frac{x\%}{100\%}=\frac{10.00}{.65}

\Rightarrow{x} = {1538.4615384615\%}

Therefore, {10.00} is {1538.4615384615\%} of {.65}.

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