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Solution for 290 is what percent of 46:

290:46*100 =

(290*100):46 =

29000:46 = 630.43

Now we have: 290 is what percent of 46 = 630.43

Question: 290 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\%}={290}.

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

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

{x\%}={290}(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}{290}

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

\frac{x\%}{100\%}=\frac{290}{46}

\Rightarrow{x} = {630.43\%}

Therefore, {290} is {630.43\%} of {46}.

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Solution for 46 is what percent of 290:

46:290*100 =

(46*100):290 =

4600:290 = 15.86

Now we have: 46 is what percent of 290 = 15.86

Question: 46 is what percent of 290?

Percentage solution with steps:

Step 1: We make the assumption that 290 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\%}={290}.

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

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

{100\%}={290}(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{290}{46}

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

\frac{x\%}{100\%}=\frac{46}{290}

\Rightarrow{x} = {15.86\%}

Therefore, {46} is {15.86\%} of {290}.