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Solution for 108 is what percent of 42:

108:42*100 =

(108*100):42 =

10800:42 = 257.14

Now we have: 108 is what percent of 42 = 257.14

Question: 108 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\%}={108}.

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

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

{x\%}={108}(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}{108}

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

\frac{x\%}{100\%}=\frac{108}{42}

\Rightarrow{x} = {257.14\%}

Therefore, {108} is {257.14\%} of {42}.

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Solution for 42 is what percent of 108:

42:108*100 =

(42*100):108 =

4200:108 = 38.89

Now we have: 42 is what percent of 108 = 38.89

Question: 42 is what percent of 108?

Percentage solution with steps:

Step 1: We make the assumption that 108 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\%}={108}.

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

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

{100\%}={108}(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{108}{42}

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

\frac{x\%}{100\%}=\frac{42}{108}

\Rightarrow{x} = {38.89\%}

Therefore, {42} is {38.89\%} of {108}.