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Solution for 275 is what percent of 40:

275:40*100 =

(275*100):40 =

27500:40 = 687.5

Now we have: 275 is what percent of 40 = 687.5

Question: 275 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\%}={275}.

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

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

{x\%}={275}(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}{275}

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

\frac{x\%}{100\%}=\frac{275}{40}

\Rightarrow{x} = {687.5\%}

Therefore, {275} is {687.5\%} of {40}.

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Solution for 40 is what percent of 275:

40:275*100 =

(40*100):275 =

4000:275 = 14.55

Now we have: 40 is what percent of 275 = 14.55

Question: 40 is what percent of 275?

Percentage solution with steps:

Step 1: We make the assumption that 275 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\%}={275}.

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

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

{100\%}={275}(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{275}{40}

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

\frac{x\%}{100\%}=\frac{40}{275}

\Rightarrow{x} = {14.55\%}

Therefore, {40} is {14.55\%} of {275}.