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Solution for 253 is what percent of 42:

253:42*100 =

(253*100):42 =

25300:42 = 602.38

Now we have: 253 is what percent of 42 = 602.38

Question: 253 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\%}={253}.

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

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

{x\%}={253}(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}{253}

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

\frac{x\%}{100\%}=\frac{253}{42}

\Rightarrow{x} = {602.38\%}

Therefore, {253} is {602.38\%} of {42}.

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Solution for 42 is what percent of 253:

42:253*100 =

(42*100):253 =

4200:253 = 16.6

Now we have: 42 is what percent of 253 = 16.6

Question: 42 is what percent of 253?

Percentage solution with steps:

Step 1: We make the assumption that 253 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\%}={253}.

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

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

{100\%}={253}(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{253}{42}

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

\frac{x\%}{100\%}=\frac{42}{253}

\Rightarrow{x} = {16.6\%}

Therefore, {42} is {16.6\%} of {253}.