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Solution for 140.00 is what percent of 42:

140.00:42*100 =

(140.00*100):42 =

14000:42 = 333.33333333333

Now we have: 140.00 is what percent of 42 = 333.33333333333

Question: 140.00 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\%}={140.00}.

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

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

{x\%}={140.00}(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}{140.00}

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

\frac{x\%}{100\%}=\frac{140.00}{42}

\Rightarrow{x} = {333.33333333333\%}

Therefore, {140.00} is {333.33333333333\%} of {42}.

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• 140.00 is what percent of 100 = 140

Solution for 42 is what percent of 140.00:

42:140.00*100 =

(42*100):140.00 =

4200:140.00 = 30

Now we have: 42 is what percent of 140.00 = 30

Question: 42 is what percent of 140.00?

Percentage solution with steps:

Step 1: We make the assumption that 140.00 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\%}={140.00}.

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

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

{100\%}={140.00}(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{140.00}{42}

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

\frac{x\%}{100\%}=\frac{42}{140.00}

\Rightarrow{x} = {30\%}

Therefore, {42} is {30\%} of {140.00}.