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Solution for 242 is what percent of 22:

242:22*100 =

(242*100):22 =

24200:22 = 1100

Now we have: 242 is what percent of 22 = 1100

Question: 242 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\%}={242}.

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

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

{x\%}={242}(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}{242}

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

\frac{x\%}{100\%}=\frac{242}{22}

\Rightarrow{x} = {1100\%}

Therefore, {242} is {1100\%} of {22}.

• 242 is what percent of 1 = 24200
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Solution for 22 is what percent of 242:

22:242*100 =

(22*100):242 =

2200:242 = 9.09

Now we have: 22 is what percent of 242 = 9.09

Question: 22 is what percent of 242?

Percentage solution with steps:

Step 1: We make the assumption that 242 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\%}={242}.

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

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

{100\%}={242}(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{242}{22}

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

\frac{x\%}{100\%}=\frac{22}{242}

\Rightarrow{x} = {9.09\%}

Therefore, {22} is {9.09\%} of {242}.