#### Solution for 42 is what percent of 282:

42:282*100 =

(42*100):282 =

4200:282 = 14.89

Now we have: 42 is what percent of 282 = 14.89

Question: 42 is what percent of 282?

Percentage solution with steps:

Step 1: We make the assumption that 282 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\%}={282}.

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

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

{100\%}={282}(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{282}{42}

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

\frac{x\%}{100\%}=\frac{42}{282}

\Rightarrow{x} = {14.89\%}

Therefore, {42} is {14.89\%} of {282}.

#### Solution for 282 is what percent of 42:

282:42*100 =

(282*100):42 =

28200:42 = 671.43

Now we have: 282 is what percent of 42 = 671.43

Question: 282 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\%}={282}.

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

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

{x\%}={282}(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}{282}

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

\frac{x\%}{100\%}=\frac{282}{42}

\Rightarrow{x} = {671.43\%}

Therefore, {282} is {671.43\%} of {42}.

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