#### Solution for 6.65 is what percent of 10:

6.65:10*100 =

(6.65*100):10 =

665:10 = 66.5

Now we have: 6.65 is what percent of 10 = 66.5

Question: 6.65 is what percent of 10?

Percentage solution with steps:

Step 1: We make the assumption that 10 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}.

Step 4: In the same vein, {x\%}={6.65}.

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

{100\%}={10}(1).

{x\%}={6.65}(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}{6.65}

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

\frac{x\%}{100\%}=\frac{6.65}{10}

\Rightarrow{x} = {66.5\%}

Therefore, {6.65} is {66.5\%} of {10}.

#### Solution for 10 is what percent of 6.65:

10:6.65*100 =

(10*100):6.65 =

1000:6.65 = 150.37593984962

Now we have: 10 is what percent of 6.65 = 150.37593984962

Question: 10 is what percent of 6.65?

Percentage solution with steps:

Step 1: We make the assumption that 6.65 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\%}={6.65}.

Step 4: In the same vein, {x\%}={10}.

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

{100\%}={6.65}(1).

{x\%}={10}(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{6.65}{10}

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

\frac{x\%}{100\%}=\frac{10}{6.65}

\Rightarrow{x} = {150.37593984962\%}

Therefore, {10} is {150.37593984962\%} of {6.65}.

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