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Solution for 262 is what percent of 42:

262:42*100 =

(262*100):42 =

26200:42 = 623.81

Now we have: 262 is what percent of 42 = 623.81

Question: 262 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\%}={262}.

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

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

{x\%}={262}(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}{262}

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

\frac{x\%}{100\%}=\frac{262}{42}

\Rightarrow{x} = {623.81\%}

Therefore, {262} is {623.81\%} of {42}.

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Solution for 42 is what percent of 262:

42:262*100 =

(42*100):262 =

4200:262 = 16.03

Now we have: 42 is what percent of 262 = 16.03

Question: 42 is what percent of 262?

Percentage solution with steps:

Step 1: We make the assumption that 262 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\%}={262}.

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

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

{100\%}={262}(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{262}{42}

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

\frac{x\%}{100\%}=\frac{42}{262}

\Rightarrow{x} = {16.03\%}

Therefore, {42} is {16.03\%} of {262}.