#### Solution for 275 is what percent of 408:

275:408*100 =

(275*100):408 =

27500:408 = 67.4

Now we have: 275 is what percent of 408 = 67.4

Question: 275 is what percent of 408?

Percentage solution with steps:

Step 1: We make the assumption that 408 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\%}={408}.

Step 4: In the same vein, {x\%}={275}.

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

{100\%}={408}(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{408}{275}

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

\frac{x\%}{100\%}=\frac{275}{408}

\Rightarrow{x} = {67.4\%}

Therefore, {275} is {67.4\%} of {408}.

#### Solution for 408 is what percent of 275:

408:275*100 =

(408*100):275 =

40800:275 = 148.36

Now we have: 408 is what percent of 275 = 148.36

Question: 408 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\%}={408}.

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

{100\%}={275}(1).

{x\%}={408}(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}{408}

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

\frac{x\%}{100\%}=\frac{408}{275}

\Rightarrow{x} = {148.36\%}

Therefore, {408} is {148.36\%} of {275}.

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