#### Solution for 50 is what percent of 900:

50:900*100 =

(50*100):900 =

5000:900 = 5.56

Now we have: 50 is what percent of 900 = 5.56

Question: 50 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\%}={50}.

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

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

{x\%}={50}(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}{50}

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

\frac{x\%}{100\%}=\frac{50}{900}

\Rightarrow{x} = {5.56\%}

Therefore, {50} is {5.56\%} of {900}.

#### Solution for 900 is what percent of 50:

900:50*100 =

(900*100):50 =

90000:50 = 1800

Now we have: 900 is what percent of 50 = 1800

Question: 900 is what percent of 50?

Percentage solution with steps:

Step 1: We make the assumption that 50 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\%}={50}.

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

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

{100\%}={50}(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{50}{900}

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

\frac{x\%}{100\%}=\frac{900}{50}

\Rightarrow{x} = {1800\%}

Therefore, {900} is {1800\%} of {50}.

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