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Solution for 509 is what percent of 42:

509:42*100 =

(509*100):42 =

50900:42 = 1211.9

Now we have: 509 is what percent of 42 = 1211.9

Question: 509 is what percent of 42?

Percentage solution with steps:

Step 1: We make the assumption that 42 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\%}={42}.

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

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

{100\%}={42}(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{42}{509}

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

\frac{x\%}{100\%}=\frac{509}{42}

\Rightarrow{x} = {1211.9\%}

Therefore, {509} is {1211.9\%} of {42}.

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• 509 is what percent of 42 = 1211.9
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• 509 is what percent of 100 = 509

Solution for 42 is what percent of 509:

42:509*100 =

(42*100):509 =

4200:509 = 8.25

Now we have: 42 is what percent of 509 = 8.25

Question: 42 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\%}={42}.

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

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

{x\%}={42}(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}{42}

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

\frac{x\%}{100\%}=\frac{42}{509}

\Rightarrow{x} = {8.25\%}

Therefore, {42} is {8.25\%} of {509}.