#### Solution for 418 is what percent of 900:

418:900*100 =

(418*100):900 =

41800:900 = 46.44

Now we have: 418 is what percent of 900 = 46.44

Question: 418 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\%}={418}.

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

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

{x\%}={418}(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}{418}

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

\frac{x\%}{100\%}=\frac{418}{900}

\Rightarrow{x} = {46.44\%}

Therefore, {418} is {46.44\%} of {900}.

#### Solution for 900 is what percent of 418:

900:418*100 =

(900*100):418 =

90000:418 = 215.31

Now we have: 900 is what percent of 418 = 215.31

Question: 900 is what percent of 418?

Percentage solution with steps:

Step 1: We make the assumption that 418 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\%}={418}.

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

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

{100\%}={418}(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{418}{900}

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

\frac{x\%}{100\%}=\frac{900}{418}

\Rightarrow{x} = {215.31\%}

Therefore, {900} is {215.31\%} of {418}.

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