#### Solution for 388 is what percent of 400:

388:400*100 =

(388*100):400 =

38800:400 = 97

Now we have: 388 is what percent of 400 = 97

Question: 388 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\%}={388}.

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

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

{x\%}={388}(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}{388}

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

\frac{x\%}{100\%}=\frac{388}{400}

\Rightarrow{x} = {97\%}

Therefore, {388} is {97\%} of {400}.

#### Solution for 400 is what percent of 388:

400:388*100 =

(400*100):388 =

40000:388 = 103.09

Now we have: 400 is what percent of 388 = 103.09

Question: 400 is what percent of 388?

Percentage solution with steps:

Step 1: We make the assumption that 388 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\%}={388}.

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

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

{100\%}={388}(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{388}{400}

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

\frac{x\%}{100\%}=\frac{400}{388}

\Rightarrow{x} = {103.09\%}

Therefore, {400} is {103.09\%} of {388}.

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