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Solution for 400 is what percent of 4400:

400:4400*100 =

(400*100):4400 =

40000:4400 = 9.09

Now we have: 400 is what percent of 4400 = 9.09

Question: 400 is what percent of 4400?

Percentage solution with steps:

Step 1: We make the assumption that 4400 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\%}={4400}.

Step 4: In the same vein, {x\%}={400}.

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

{100\%}={4400}(1).

{x\%}={400}(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{4400}{400}

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

\frac{x\%}{100\%}=\frac{400}{4400}

\Rightarrow{x} = {9.09\%}

Therefore, {400} is {9.09\%} of {4400}.

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Solution for 4400 is what percent of 400:

4400:400*100 =

(4400*100):400 =

440000:400 = 1100

Now we have: 4400 is what percent of 400 = 1100

Question: 4400 is what percent of 400?

Percentage solution with steps:

Step 1: We make the assumption that 400 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\%}={400}.

Step 4: In the same vein, {x\%}={4400}.

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

{100\%}={400}(1).

{x\%}={4400}(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{400}{4400}

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

\frac{x\%}{100\%}=\frac{4400}{400}

\Rightarrow{x} = {1100\%}

Therefore, {4400} is {1100\%} of {400}.