#### Solution for 267 is what percent of 40:

267:40*100 =

(267*100):40 =

26700:40 = 667.5

Now we have: 267 is what percent of 40 = 667.5

Question: 267 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\%}={267}.

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

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

{x\%}={267}(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}{267}

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

\frac{x\%}{100\%}=\frac{267}{40}

\Rightarrow{x} = {667.5\%}

Therefore, {267} is {667.5\%} of {40}.

#### Solution for 40 is what percent of 267:

40:267*100 =

(40*100):267 =

4000:267 = 14.98

Now we have: 40 is what percent of 267 = 14.98

Question: 40 is what percent of 267?

Percentage solution with steps:

Step 1: We make the assumption that 267 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\%}={267}.

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

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

{100\%}={267}(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{267}{40}

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

\frac{x\%}{100\%}=\frac{40}{267}

\Rightarrow{x} = {14.98\%}

Therefore, {40} is {14.98\%} of {267}.

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