#### Solution for 369 is what percent of 900:

369:900*100 =

(369*100):900 =

36900:900 = 41

Now we have: 369 is what percent of 900 = 41

Question: 369 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\%}={369}.

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

{100\%}={900}(1).

{x\%}={369}(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}{369}

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

\frac{x\%}{100\%}=\frac{369}{900}

\Rightarrow{x} = {41\%}

Therefore, {369} is {41\%} of {900}.

#### Solution for 900 is what percent of 369:

900:369*100 =

(900*100):369 =

90000:369 = 243.9

Now we have: 900 is what percent of 369 = 243.9

Question: 900 is what percent of 369?

Percentage solution with steps:

Step 1: We make the assumption that 369 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\%}={369}.

Step 4: In the same vein, {x\%}={900}.

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

{100\%}={369}(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{369}{900}

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

\frac{x\%}{100\%}=\frac{900}{369}

\Rightarrow{x} = {243.9\%}

Therefore, {900} is {243.9\%} of {369}.

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