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Solution for 284 is what percent of 40:

284:40*100 =

(284*100):40 =

28400:40 = 710

Now we have: 284 is what percent of 40 = 710

Question: 284 is what percent of 40?

Percentage solution with steps:

Step 1: We make the assumption that 40 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\%}={40}.

Step 4: In the same vein, {x\%}={284}.

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

{100\%}={40}(1).

{x\%}={284}(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{40}{284}

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

\frac{x\%}{100\%}=\frac{284}{40}

\Rightarrow{x} = {710\%}

Therefore, {284} is {710\%} of {40}.

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Solution for 40 is what percent of 284:

40:284*100 =

(40*100):284 =

4000:284 = 14.08

Now we have: 40 is what percent of 284 = 14.08

Question: 40 is what percent of 284?

Percentage solution with steps:

Step 1: We make the assumption that 284 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\%}={284}.

Step 4: In the same vein, {x\%}={40}.

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

{100\%}={284}(1).

{x\%}={40}(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{284}{40}

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

\frac{x\%}{100\%}=\frac{40}{284}

\Rightarrow{x} = {14.08\%}

Therefore, {40} is {14.08\%} of {284}.