#### Solution for 509 is what percent of 750:

509:750*100 =

(509*100):750 =

50900:750 = 67.87

Now we have: 509 is what percent of 750 = 67.87

Question: 509 is what percent of 750?

Percentage solution with steps:

Step 1: We make the assumption that 750 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\%}={750}.

Step 4: In the same vein, {x\%}={509}.

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

{100\%}={750}(1).

{x\%}={509}(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{750}{509}

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

\frac{x\%}{100\%}=\frac{509}{750}

\Rightarrow{x} = {67.87\%}

Therefore, {509} is {67.87\%} of {750}.

#### Solution for 750 is what percent of 509:

750:509*100 =

(750*100):509 =

75000:509 = 147.35

Now we have: 750 is what percent of 509 = 147.35

Question: 750 is what percent of 509?

Percentage solution with steps:

Step 1: We make the assumption that 509 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\%}={509}.

Step 4: In the same vein, {x\%}={750}.

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

{100\%}={509}(1).

{x\%}={750}(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{509}{750}

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

\frac{x\%}{100\%}=\frac{750}{509}

\Rightarrow{x} = {147.35\%}

Therefore, {750} is {147.35\%} of {509}.

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