#### Solution for 42 is what percent of 250:

42: 250*100 =

(42*100): 250 =

4200: 250 = 16.8

Now we have: 42 is what percent of 250 = 16.8

Question: 42 is what percent of 250?

Percentage solution with steps:

Step 1: We make the assumption that 250 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\%}={ 250}.

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

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

{100\%}={ 250}(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{ 250}{42}

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

\frac{x\%}{100\%}=\frac{42}{ 250}

\Rightarrow{x} = {16.8\%}

Therefore, {42} is {16.8\%} of { 250}.

#### Solution for 250 is what percent of 42:

250:42*100 =

( 250*100):42 =

25000:42 = 595.24

Now we have: 250 is what percent of 42 = 595.24

Question: 250 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\%}={ 250}.

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

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

{x\%}={ 250}(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}{ 250}

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

\frac{x\%}{100\%}=\frac{ 250}{42}

\Rightarrow{x} = {595.24\%}

Therefore, { 250} is {595.24\%} of {42}.

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