#### Solution for 366 is what percent of 400:

366: 400*100 =

(366*100): 400 =

36600: 400 = 91.5

Now we have: 366 is what percent of 400 = 91.5

Question: 366 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\%}={366}.

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

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

{x\%}={366}(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}{366}

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

\frac{x\%}{100\%}=\frac{366}{ 400}

\Rightarrow{x} = {91.5\%}

Therefore, {366} is {91.5\%} of { 400}.

#### Solution for 400 is what percent of 366:

400:366*100 =

( 400*100):366 =

40000:366 = 109.29

Now we have: 400 is what percent of 366 = 109.29

Question: 400 is what percent of 366?

Percentage solution with steps:

Step 1: We make the assumption that 366 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\%}={366}.

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

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

{100\%}={366}(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{366}{ 400}

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

\frac{x\%}{100\%}=\frac{ 400}{366}

\Rightarrow{x} = {109.29\%}

Therefore, { 400} is {109.29\%} of {366}.

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