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Solution for 333 is what percent of 42:

333:42*100 =

(333*100):42 =

33300:42 = 792.86

Now we have: 333 is what percent of 42 = 792.86

Question: 333 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\%}={333}.

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

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

{x\%}={333}(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}{333}

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

\frac{x\%}{100\%}=\frac{333}{42}

\Rightarrow{x} = {792.86\%}

Therefore, {333} is {792.86\%} of {42}.

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• 333 is what percent of 30 = 1110
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• 333 is what percent of 41 = 812.2
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Solution for 42 is what percent of 333:

42:333*100 =

(42*100):333 =

4200:333 = 12.61

Now we have: 42 is what percent of 333 = 12.61

Question: 42 is what percent of 333?

Percentage solution with steps:

Step 1: We make the assumption that 333 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\%}={333}.

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

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

{100\%}={333}(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{333}{42}

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

\frac{x\%}{100\%}=\frac{42}{333}

\Rightarrow{x} = {12.61\%}

Therefore, {42} is {12.61\%} of {333}.