#### Solution for 13.5 is what percent of 46:

13.5:46*100 =

(13.5*100):46 =

1350:46 = 29.347826086957

Now we have: 13.5 is what percent of 46 = 29.347826086957

Question: 13.5 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\%}={13.5}.

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

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

{x\%}={13.5}(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}{13.5}

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

\frac{x\%}{100\%}=\frac{13.5}{46}

\Rightarrow{x} = {29.347826086957\%}

Therefore, {13.5} is {29.347826086957\%} of {46}.

#### Solution for 46 is what percent of 13.5:

46:13.5*100 =

(46*100):13.5 =

4600:13.5 = 340.74074074074

Now we have: 46 is what percent of 13.5 = 340.74074074074

Question: 46 is what percent of 13.5?

Percentage solution with steps:

Step 1: We make the assumption that 13.5 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\%}={13.5}.

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

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

{100\%}={13.5}(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{13.5}{46}

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

\frac{x\%}{100\%}=\frac{46}{13.5}

\Rightarrow{x} = {340.74074074074\%}

Therefore, {46} is {340.74074074074\%} of {13.5}.

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