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Solution for 13 is what percent of 45:

13:45*100 =

( 13*100):45 =

1300:45 = 28.89

Now we have: 13 is what percent of 45 = 28.89

Question: 13 is what percent of 45?

Percentage solution with steps:

Step 1: We make the assumption that 45 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\%}={45}.

Step 4: In the same vein, {x\%}={ 13}.

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

{100\%}={45}(1).

{x\%}={ 13}(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{45}{ 13}

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

\frac{x\%}{100\%}=\frac{ 13}{45}

\Rightarrow{x} = {28.89\%}

Therefore, { 13} is {28.89\%} of {45}.

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Solution for 45 is what percent of 13:

45: 13*100 =

(45*100): 13 =

4500: 13 = 346.15

Now we have: 45 is what percent of 13 = 346.15

Question: 45 is what percent of 13?

Percentage solution with steps:

Step 1: We make the assumption that 13 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}.

Step 4: In the same vein, {x\%}={45}.

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

{100\%}={ 13}(1).

{x\%}={45}(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}{45}

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

\frac{x\%}{100\%}=\frac{45}{ 13}

\Rightarrow{x} = {346.15\%}

Therefore, {45} is {346.15\%} of { 13}.