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Solution for 105.5 is what percent of 42:

105.5:42*100 =

(105.5*100):42 =

10550:42 = 251.19047619048

Now we have: 105.5 is what percent of 42 = 251.19047619048

Question: 105.5 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\%}={105.5}.

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

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

{x\%}={105.5}(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}{105.5}

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

\frac{x\%}{100\%}=\frac{105.5}{42}

\Rightarrow{x} = {251.19047619048\%}

Therefore, {105.5} is {251.19047619048\%} of {42}.

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Solution for 42 is what percent of 105.5:

42:105.5*100 =

(42*100):105.5 =

4200:105.5 = 39.810426540284

Now we have: 42 is what percent of 105.5 = 39.810426540284

Question: 42 is what percent of 105.5?

Percentage solution with steps:

Step 1: We make the assumption that 105.5 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\%}={105.5}.

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

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

{100\%}={105.5}(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{105.5}{42}

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

\frac{x\%}{100\%}=\frac{42}{105.5}

\Rightarrow{x} = {39.810426540284\%}

Therefore, {42} is {39.810426540284\%} of {105.5}.