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Solution for 29.5 is what percent of 46:

29.5:46*100 =

(29.5*100):46 =

2950:46 = 64.130434782609

Now we have: 29.5 is what percent of 46 = 64.130434782609

Question: 29.5 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\%}={29.5}.

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

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

{x\%}={29.5}(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}{29.5}

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

\frac{x\%}{100\%}=\frac{29.5}{46}

\Rightarrow{x} = {64.130434782609\%}

Therefore, {29.5} is {64.130434782609\%} of {46}.

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• 29.5 is what percent of 46 = 64.13
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Solution for 46 is what percent of 29.5:

46:29.5*100 =

(46*100):29.5 =

4600:29.5 = 155.93220338983

Now we have: 46 is what percent of 29.5 = 155.93220338983

Question: 46 is what percent of 29.5?

Percentage solution with steps:

Step 1: We make the assumption that 29.5 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\%}={29.5}.

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

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

{100\%}={29.5}(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{29.5}{46}

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

\frac{x\%}{100\%}=\frac{46}{29.5}

\Rightarrow{x} = {155.93220338983\%}

Therefore, {46} is {155.93220338983\%} of {29.5}.