#### Solution for 900 is what percent of 2200:

900:2200*100 =

(900*100):2200 =

90000:2200 = 40.91

Now we have: 900 is what percent of 2200 = 40.91

Question: 900 is what percent of 2200?

Percentage solution with steps:

Step 1: We make the assumption that 2200 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\%}={2200}.

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

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

{100\%}={2200}(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{2200}{900}

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

\frac{x\%}{100\%}=\frac{900}{2200}

\Rightarrow{x} = {40.91\%}

Therefore, {900} is {40.91\%} of {2200}.

#### Solution for 2200 is what percent of 900:

2200:900*100 =

(2200*100):900 =

220000:900 = 244.44

Now we have: 2200 is what percent of 900 = 244.44

Question: 2200 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\%}={2200}.

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

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

{x\%}={2200}(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}{2200}

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

\frac{x\%}{100\%}=\frac{2200}{900}

\Rightarrow{x} = {244.44\%}

Therefore, {2200} is {244.44\%} of {900}.

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