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Solution for 22 is what percent of 40:

22:40*100 =

(22*100):40 =

2200:40 = 55

Now we have: 22 is what percent of 40 = 55

Question: 22 is what percent of 40?

Percentage solution with steps:

Step 1: We make the assumption that 40 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\%}={40}.

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

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

{100\%}={40}(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{40}{22}

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

\frac{x\%}{100\%}=\frac{22}{40}

\Rightarrow{x} = {55\%}

Therefore, {22} is {55\%} of {40}.

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Solution for 40 is what percent of 22:

40:22*100 =

(40*100):22 =

4000:22 = 181.82

Now we have: 40 is what percent of 22 = 181.82

Question: 40 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\%}={40}.

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

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

{x\%}={40}(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}{40}

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

\frac{x\%}{100\%}=\frac{40}{22}

\Rightarrow{x} = {181.82\%}

Therefore, {40} is {181.82\%} of {22}.