#### Solution for 45 is what percent of 104:

45:104*100 =

(45*100):104 =

4500:104 = 43.27

Now we have: 45 is what percent of 104 = 43.27

Question: 45 is what percent of 104?

Percentage solution with steps:

Step 1: We make the assumption that 104 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\%}={104}.

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

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

{100\%}={104}(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{104}{45}

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

\frac{x\%}{100\%}=\frac{45}{104}

\Rightarrow{x} = {43.27\%}

Therefore, {45} is {43.27\%} of {104}.

#### Solution for 104 is what percent of 45:

104:45*100 =

(104*100):45 =

10400:45 = 231.11

Now we have: 104 is what percent of 45 = 231.11

Question: 104 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\%}={104}.

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

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

{x\%}={104}(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}{104}

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

\frac{x\%}{100\%}=\frac{104}{45}

\Rightarrow{x} = {231.11\%}

Therefore, {104} is {231.11\%} of {45}.

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