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Solution for 380 is what percent of 509:

380:509*100 =

(380*100):509 =

38000:509 = 74.66

Now we have: 380 is what percent of 509 = 74.66

Question: 380 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\%}={380}.

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

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

{x\%}={380}(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}{380}

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

\frac{x\%}{100\%}=\frac{380}{509}

\Rightarrow{x} = {74.66\%}

Therefore, {380} is {74.66\%} of {509}.

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• 380 is what percent of 20 = 1900
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Solution for 509 is what percent of 380:

509:380*100 =

(509*100):380 =

50900:380 = 133.95

Now we have: 509 is what percent of 380 = 133.95

Question: 509 is what percent of 380?

Percentage solution with steps:

Step 1: We make the assumption that 380 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\%}={380}.

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

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

{100\%}={380}(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{380}{509}

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

\frac{x\%}{100\%}=\frac{509}{380}

\Rightarrow{x} = {133.95\%}

Therefore, {509} is {133.95\%} of {380}.