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Solution for 22 is what percent of 46:

22:46*100 =

(22*100):46 =

2200:46 = 47.83

Now we have: 22 is what percent of 46 = 47.83

Question: 22 is what percent of 46?

Percentage solution with steps:

Step 1: We make the assumption that 46 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\%}={46}.

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

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

{100\%}={46}(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{46}{22}

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

\frac{x\%}{100\%}=\frac{22}{46}

\Rightarrow{x} = {47.83\%}

Therefore, {22} is {47.83\%} of {46}.

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Solution for 46 is what percent of 22:

46:22*100 =

(46*100):22 =

4600:22 = 209.09

Now we have: 46 is what percent of 22 = 209.09

Question: 46 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\%}={46}.

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

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

{x\%}={46}(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}{46}

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

\frac{x\%}{100\%}=\frac{46}{22}

\Rightarrow{x} = {209.09\%}

Therefore, {46} is {209.09\%} of {22}.