#### Solution for 105 is what percent of 450:

105:450*100 =

(105*100):450 =

10500:450 = 23.33

Now we have: 105 is what percent of 450 = 23.33

Question: 105 is what percent of 450?

Percentage solution with steps:

Step 1: We make the assumption that 450 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\%}={450}.

Step 4: In the same vein, {x\%}={105}.

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

{100\%}={450}(1).

{x\%}={105}(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{450}{105}

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

\frac{x\%}{100\%}=\frac{105}{450}

\Rightarrow{x} = {23.33\%}

Therefore, {105} is {23.33\%} of {450}.

#### Solution for 450 is what percent of 105:

450:105*100 =

(450*100):105 =

45000:105 = 428.57

Now we have: 450 is what percent of 105 = 428.57

Question: 450 is what percent of 105?

Percentage solution with steps:

Step 1: We make the assumption that 105 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\%}={105}.

Step 4: In the same vein, {x\%}={450}.

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

{100\%}={105}(1).

{x\%}={450}(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{105}{450}

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

\frac{x\%}{100\%}=\frac{450}{105}

\Rightarrow{x} = {428.57\%}

Therefore, {450} is {428.57\%} of {105}.

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