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Solution for 35.5 is what percent of 42:

35.5:42*100 =

(35.5*100):42 =

3550:42 = 84.52380952381

Now we have: 35.5 is what percent of 42 = 84.52380952381

Question: 35.5 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\%}={35.5}.

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

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

{x\%}={35.5}(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}{35.5}

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

\frac{x\%}{100\%}=\frac{35.5}{42}

\Rightarrow{x} = {84.52380952381\%}

Therefore, {35.5} is {84.52380952381\%} of {42}.

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• 35.5 is what percent of 41 = 86.59
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• 35.5 is what percent of 100 = 35.5

Solution for 42 is what percent of 35.5:

42:35.5*100 =

(42*100):35.5 =

4200:35.5 = 118.30985915493

Now we have: 42 is what percent of 35.5 = 118.30985915493

Question: 42 is what percent of 35.5?

Percentage solution with steps:

Step 1: We make the assumption that 35.5 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\%}={35.5}.

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

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

{100\%}={35.5}(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{35.5}{42}

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

\frac{x\%}{100\%}=\frac{42}{35.5}

\Rightarrow{x} = {118.30985915493\%}

Therefore, {42} is {118.30985915493\%} of {35.5}.