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Solution for 46 is what percent of 29:

46:29*100 =

(46*100):29 =

4600:29 = 158.62

Now we have: 46 is what percent of 29 = 158.62

Question: 46 is what percent of 29?

Percentage solution with steps:

Step 1: We make the assumption that 29 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\%}={29}.

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

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

{100\%}={29}(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{29}{46}

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

\frac{x\%}{100\%}=\frac{46}{29}

\Rightarrow{x} = {158.62\%}

Therefore, {46} is {158.62\%} of {29}.

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Solution for 29 is what percent of 46:

29:46*100 =

(29*100):46 =

2900:46 = 63.04

Now we have: 29 is what percent of 46 = 63.04

Question: 29 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\%}={29}.

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

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

{x\%}={29}(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}{29}

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

\frac{x\%}{100\%}=\frac{29}{46}

\Rightarrow{x} = {63.04\%}

Therefore, {29} is {63.04\%} of {46}.