#### Solution for 7.5 is what percent of 6:

7.5: 6*100 =

(7.5*100): 6 =

750: 6 = 125

Now we have: 7.5 is what percent of 6 = 125

Question: 7.5 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\%}={7.5}.

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

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

{x\%}={7.5}(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}{7.5}

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

\frac{x\%}{100\%}=\frac{7.5}{ 6}

\Rightarrow{x} = {125\%}

Therefore, {7.5} is {125\%} of { 6}.

#### Solution for 6 is what percent of 7.5:

6:7.5*100 =

( 6*100):7.5 =

600:7.5 = 80

Now we have: 6 is what percent of 7.5 = 80

Question: 6 is what percent of 7.5?

Percentage solution with steps:

Step 1: We make the assumption that 7.5 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\%}={7.5}.

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

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

{100\%}={7.5}(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{7.5}{ 6}

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

\frac{x\%}{100\%}=\frac{ 6}{7.5}

\Rightarrow{x} = {80\%}

Therefore, { 6} is {80\%} of {7.5}.

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