#### Solution for 364 is what percent of 400:

364:400*100 =

(364*100):400 =

36400:400 = 91

Now we have: 364 is what percent of 400 = 91

Question: 364 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\%}={364}.

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

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

{x\%}={364}(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}{364}

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

\frac{x\%}{100\%}=\frac{364}{400}

\Rightarrow{x} = {91\%}

Therefore, {364} is {91\%} of {400}.

#### Solution for 400 is what percent of 364:

400:364*100 =

(400*100):364 =

40000:364 = 109.89

Now we have: 400 is what percent of 364 = 109.89

Question: 400 is what percent of 364?

Percentage solution with steps:

Step 1: We make the assumption that 364 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\%}={364}.

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

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

{100\%}={364}(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{364}{400}

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

\frac{x\%}{100\%}=\frac{400}{364}

\Rightarrow{x} = {109.89\%}

Therefore, {400} is {109.89\%} of {364}.

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