#### Solution for 900 is what percent of 366:

900:366*100 =

(900*100):366 =

90000:366 = 245.9

Now we have: 900 is what percent of 366 = 245.9

Question: 900 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\%}={900}.

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

{100\%}={366}(1).

{x\%}={900}(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}{900}

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

\frac{x\%}{100\%}=\frac{900}{366}

\Rightarrow{x} = {245.9\%}

Therefore, {900} is {245.9\%} of {366}.

#### Solution for 366 is what percent of 900:

366:900*100 =

(366*100):900 =

36600:900 = 40.67

Now we have: 366 is what percent of 900 = 40.67

Question: 366 is what percent of 900?

Percentage solution with steps:

Step 1: We make the assumption that 900 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\%}={900}.

Step 4: In the same vein, {x\%}={366}.

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

{100\%}={900}(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{900}{366}

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

\frac{x\%}{100\%}=\frac{366}{900}

\Rightarrow{x} = {40.67\%}

Therefore, {366} is {40.67\%} of {900}.

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