#### Solution for 22 is what percent of 440:

22:440*100 =

(22*100):440 =

2200:440 = 5

Now we have: 22 is what percent of 440 = 5

Question: 22 is what percent of 440?

Percentage solution with steps:

Step 1: We make the assumption that 440 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\%}={440}.

Step 4: In the same vein, {x\%}={22}.

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

{100\%}={440}(1).

{x\%}={22}(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{440}{22}

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

\frac{x\%}{100\%}=\frac{22}{440}

\Rightarrow{x} = {5\%}

Therefore, {22} is {5\%} of {440}.

#### Solution for 440 is what percent of 22:

440:22*100 =

(440*100):22 =

44000:22 = 2000

Now we have: 440 is what percent of 22 = 2000

Question: 440 is what percent of 22?

Percentage solution with steps:

Step 1: We make the assumption that 22 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\%}={22}.

Step 4: In the same vein, {x\%}={440}.

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

{100\%}={22}(1).

{x\%}={440}(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{22}{440}

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

\frac{x\%}{100\%}=\frac{440}{22}

\Rightarrow{x} = {2000\%}

Therefore, {440} is {2000\%} of {22}.

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