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Solution for 268 is what percent of 40:

268:40*100 =

(268*100):40 =

26800:40 = 670

Now we have: 268 is what percent of 40 = 670

Question: 268 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\%}={268}.

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

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

{x\%}={268}(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}{268}

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

\frac{x\%}{100\%}=\frac{268}{40}

\Rightarrow{x} = {670\%}

Therefore, {268} is {670\%} of {40}.

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Solution for 40 is what percent of 268:

40:268*100 =

(40*100):268 =

4000:268 = 14.93

Now we have: 40 is what percent of 268 = 14.93

Question: 40 is what percent of 268?

Percentage solution with steps:

Step 1: We make the assumption that 268 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\%}={268}.

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

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

{100\%}={268}(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{268}{40}

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

\frac{x\%}{100\%}=\frac{40}{268}

\Rightarrow{x} = {14.93\%}

Therefore, {40} is {14.93\%} of {268}.