#### Solution for 10 is what percent of 75:

10:75*100 =

(10*100):75 =

1000:75 = 13.33

Now we have: 10 is what percent of 75 = 13.33

Question: 10 is what percent of 75?

Percentage solution with steps:

Step 1: We make the assumption that 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\%}={75}.

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

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

{100\%}={75}(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{75}{10}

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

\frac{x\%}{100\%}=\frac{10}{75}

\Rightarrow{x} = {13.33\%}

Therefore, {10} is {13.33\%} of {75}.

#### Solution for 75 is what percent of 10:

75:10*100 =

(75*100):10 =

7500:10 = 750

Now we have: 75 is what percent of 10 = 750

Question: 75 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\%}={75}.

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

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

{x\%}={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{10}{75}

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

\frac{x\%}{100\%}=\frac{75}{10}

\Rightarrow{x} = {750\%}

Therefore, {75} is {750\%} of {10}.

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