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Solution for 515 is what percent of 42:

515:42*100 =

(515*100):42 =

51500:42 = 1226.19

Now we have: 515 is what percent of 42 = 1226.19

Question: 515 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\%}={515}.

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

{100\%}={42}(1).

{x\%}={515}(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}{515}

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

\frac{x\%}{100\%}=\frac{515}{42}

\Rightarrow{x} = {1226.19\%}

Therefore, {515} is {1226.19\%} of {42}.

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Solution for 42 is what percent of 515:

42:515*100 =

(42*100):515 =

4200:515 = 8.16

Now we have: 42 is what percent of 515 = 8.16

Question: 42 is what percent of 515?

Percentage solution with steps:

Step 1: We make the assumption that 515 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\%}={515}.

Step 4: In the same vein, {x\%}={42}.

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

{100\%}={515}(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{515}{42}

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

\frac{x\%}{100\%}=\frac{42}{515}

\Rightarrow{x} = {8.16\%}

Therefore, {42} is {8.16\%} of {515}.