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Solution for 422 is what percent of 46:

422:46*100 =

(422*100):46 =

42200:46 = 917.39

Now we have: 422 is what percent of 46 = 917.39

Question: 422 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\%}={422}.

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

{100\%}={46}(1).

{x\%}={422}(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}{422}

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

\frac{x\%}{100\%}=\frac{422}{46}

\Rightarrow{x} = {917.39\%}

Therefore, {422} is {917.39\%} of {46}.

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Solution for 46 is what percent of 422:

46:422*100 =

(46*100):422 =

4600:422 = 10.9

Now we have: 46 is what percent of 422 = 10.9

Question: 46 is what percent of 422?

Percentage solution with steps:

Step 1: We make the assumption that 422 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\%}={422}.

Step 4: In the same vein, {x\%}={46}.

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

{100\%}={422}(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{422}{46}

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

\frac{x\%}{100\%}=\frac{46}{422}

\Rightarrow{x} = {10.9\%}

Therefore, {46} is {10.9\%} of {422}.