#### Solution for 500 is what percent of 7.5:

500:7.5*100 =

(500*100):7.5 =

50000:7.5 = 6666.6666666667

Now we have: 500 is what percent of 7.5 = 6666.6666666667

Question: 500 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\%}={500}.

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

{100\%}={7.5}(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{7.5}{500}

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

\frac{x\%}{100\%}=\frac{500}{7.5}

\Rightarrow{x} = {6666.6666666667\%}

Therefore, {500} is {6666.6666666667\%} of {7.5}.

#### Solution for 7.5 is what percent of 500:

7.5:500*100 =

(7.5*100):500 =

750:500 = 1.5

Now we have: 7.5 is what percent of 500 = 1.5

Question: 7.5 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\%}={7.5}.

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

{100\%}={500}(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{500}{7.5}

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

\frac{x\%}{100\%}=\frac{7.5}{500}

\Rightarrow{x} = {1.5\%}

Therefore, {7.5} is {1.5\%} of {500}.

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