#### Solution for 364 is what percent of 100:

364:100*100 =

(364*100):100 =

36400:100 = 364

Now we have: 364 is what percent of 100 = 364

Question: 364 is what percent of 100?

Percentage solution with steps:

Step 1: We make the assumption that 100 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\%}={100}.

Step 4: In the same vein, {x\%}={364}.

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

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

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

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

\Rightarrow{x} = {364\%}

Therefore, {364} is {364\%} of {100}.

#### Solution for 100 is what percent of 364:

100:364*100 =

(100*100):364 =

10000:364 = 27.47

Now we have: 100 is what percent of 364 = 27.47

Question: 100 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\%}={100}.

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

{100\%}={364}(1).

{x\%}={100}(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}{100}

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

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

\Rightarrow{x} = {27.47\%}

Therefore, {100} is {27.47\%} of {364}.

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