#### Solution for 395 is what percent of 400:

395:400*100 =

( 395*100):400 =

39500:400 = 98.75

Now we have: 395 is what percent of 400 = 98.75

Question: 395 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\%}={ 395}.

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

{100\%}={400}(1).

{x\%}={ 395}(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}{ 395}

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

\frac{x\%}{100\%}=\frac{ 395}{400}

\Rightarrow{x} = {98.75\%}

Therefore, { 395} is {98.75\%} of {400}.

#### Solution for 400 is what percent of 395:

400: 395*100 =

(400*100): 395 =

40000: 395 = 101.27

Now we have: 400 is what percent of 395 = 101.27

Question: 400 is what percent of 395?

Percentage solution with steps:

Step 1: We make the assumption that 395 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\%}={ 395}.

Step 4: In the same vein, {x\%}={400}.

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

{100\%}={ 395}(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{ 395}{400}

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

\frac{x\%}{100\%}=\frac{400}{ 395}

\Rightarrow{x} = {101.27\%}

Therefore, {400} is {101.27\%} of { 395}.

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