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Solution for 240 is what percent of 42:

240:42*100 =

(240*100):42 =

24000:42 = 571.43

Now we have: 240 is what percent of 42 = 571.43

Question: 240 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\%}={240}.

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

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

{x\%}={240}(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}{240}

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

\frac{x\%}{100\%}=\frac{240}{42}

\Rightarrow{x} = {571.43\%}

Therefore, {240} is {571.43\%} of {42}.

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Solution for 42 is what percent of 240:

42:240*100 =

(42*100):240 =

4200:240 = 17.5

Now we have: 42 is what percent of 240 = 17.5

Question: 42 is what percent of 240?

Percentage solution with steps:

Step 1: We make the assumption that 240 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\%}={240}.

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

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

{100\%}={240}(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{240}{42}

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

\frac{x\%}{100\%}=\frac{42}{240}

\Rightarrow{x} = {17.5\%}

Therefore, {42} is {17.5\%} of {240}.