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Solution for 251 is what percent of 42:

251:42*100 =

(251*100):42 =

25100:42 = 597.62

Now we have: 251 is what percent of 42 = 597.62

Question: 251 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\%}={251}.

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

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

{x\%}={251}(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}{251}

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

\frac{x\%}{100\%}=\frac{251}{42}

\Rightarrow{x} = {597.62\%}

Therefore, {251} is {597.62\%} of {42}.

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Solution for 42 is what percent of 251:

42:251*100 =

(42*100):251 =

4200:251 = 16.73

Now we have: 42 is what percent of 251 = 16.73

Question: 42 is what percent of 251?

Percentage solution with steps:

Step 1: We make the assumption that 251 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\%}={251}.

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

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

{100\%}={251}(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{251}{42}

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

\frac{x\%}{100\%}=\frac{42}{251}

\Rightarrow{x} = {16.73\%}

Therefore, {42} is {16.73\%} of {251}.