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Solution for 1266 is what percent of 42:

1266:42*100 =

(1266*100):42 =

126600:42 = 3014.29

Now we have: 1266 is what percent of 42 = 3014.29

Question: 1266 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\%}={1266}.

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

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

{x\%}={1266}(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}{1266}

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

\frac{x\%}{100\%}=\frac{1266}{42}

\Rightarrow{x} = {3014.29\%}

Therefore, {1266} is {3014.29\%} of {42}.

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• 1266 is what percent of 100 = 1266

Solution for 42 is what percent of 1266:

42:1266*100 =

(42*100):1266 =

4200:1266 = 3.32

Now we have: 42 is what percent of 1266 = 3.32

Question: 42 is what percent of 1266?

Percentage solution with steps:

Step 1: We make the assumption that 1266 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\%}={1266}.

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

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

{100\%}={1266}(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{1266}{42}

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

\frac{x\%}{100\%}=\frac{42}{1266}

\Rightarrow{x} = {3.32\%}

Therefore, {42} is {3.32\%} of {1266}.