#### Solution for 500 is what percent of 7500:

500:7500*100 =

(500*100):7500 =

50000:7500 = 6.67

Now we have: 500 is what percent of 7500 = 6.67

Question: 500 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\%}={500}.

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

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

{x\%}={500}(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}{500}

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

\frac{x\%}{100\%}=\frac{500}{7500}

\Rightarrow{x} = {6.67\%}

Therefore, {500} is {6.67\%} of {7500}.

#### Solution for 7500 is what percent of 500:

7500:500*100 =

(7500*100):500 =

750000:500 = 1500

Now we have: 7500 is what percent of 500 = 1500

Question: 7500 is what percent of 500?

Percentage solution with steps:

Step 1: We make the assumption that 500 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\%}={500}.

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

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

{100\%}={500}(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{500}{7500}

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

\frac{x\%}{100\%}=\frac{7500}{500}

\Rightarrow{x} = {1500\%}

Therefore, {7500} is {1500\%} of {500}.

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