#### Solution for 6700 is what percent of 7500:

6700:7500*100 =

(6700*100):7500 =

670000:7500 = 89.33

Now we have: 6700 is what percent of 7500 = 89.33

Question: 6700 is what percent of 7500?

Percentage solution with steps:

Step 1: We make the assumption that 7500 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\%}={7500}.

Step 4: In the same vein, {x\%}={6700}.

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

{100\%}={7500}(1).

{x\%}={6700}(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{7500}{6700}

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

\frac{x\%}{100\%}=\frac{6700}{7500}

\Rightarrow{x} = {89.33\%}

Therefore, {6700} is {89.33\%} of {7500}.

#### Solution for 7500 is what percent of 6700:

7500:6700*100 =

(7500*100):6700 =

750000:6700 = 111.94

Now we have: 7500 is what percent of 6700 = 111.94

Question: 7500 is what percent of 6700?

Percentage solution with steps:

Step 1: We make the assumption that 6700 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\%}={6700}.

Step 4: In the same vein, {x\%}={7500}.

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

{100\%}={6700}(1).

{x\%}={7500}(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{6700}{7500}

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

\frac{x\%}{100\%}=\frac{7500}{6700}

\Rightarrow{x} = {111.94\%}

Therefore, {7500} is {111.94\%} of {6700}.

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