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Solution for 275 is what percent of 400:

275: 400*100 =

(275*100): 400 =

27500: 400 = 68.75

Now we have: 275 is what percent of 400 = 68.75

Question: 275 is what percent of 400?

Percentage solution with steps:

Step 1: We make the assumption that 400 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\%}={ 400}.

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

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

{100\%}={ 400}(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{ 400}{275}

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

\frac{x\%}{100\%}=\frac{275}{ 400}

\Rightarrow{x} = {68.75\%}

Therefore, {275} is {68.75\%} of { 400}.

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Solution for 400 is what percent of 275:

400:275*100 =

( 400*100):275 =

40000:275 = 145.45

Now we have: 400 is what percent of 275 = 145.45

Question: 400 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\%}={ 400}.

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

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

{x\%}={ 400}(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}{ 400}

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

\frac{x\%}{100\%}=\frac{ 400}{275}

\Rightarrow{x} = {145.45\%}

Therefore, { 400} is {145.45\%} of {275}.