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Solution for 322 is what percent of 46:

322:46*100 =

(322*100):46 =

32200:46 = 700

Now we have: 322 is what percent of 46 = 700

Question: 322 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\%}={322}.

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

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

{x\%}={322}(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}{322}

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

\frac{x\%}{100\%}=\frac{322}{46}

\Rightarrow{x} = {700\%}

Therefore, {322} is {700\%} of {46}.

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Solution for 46 is what percent of 322:

46:322*100 =

(46*100):322 =

4600:322 = 14.29

Now we have: 46 is what percent of 322 = 14.29

Question: 46 is what percent of 322?

Percentage solution with steps:

Step 1: We make the assumption that 322 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\%}={322}.

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

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

{100\%}={322}(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{322}{46}

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

\frac{x\%}{100\%}=\frac{46}{322}

\Rightarrow{x} = {14.29\%}

Therefore, {46} is {14.29\%} of {322}.