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Solution for 20 is what percent of 450:

20:450*100 =

(20*100):450 =

2000:450 = 4.44

Now we have: 20 is what percent of 450 = 4.44

Question: 20 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\%}={20}.

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

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

{x\%}={20}(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}{20}

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

\frac{x\%}{100\%}=\frac{20}{450}

\Rightarrow{x} = {4.44\%}

Therefore, {20} is {4.44\%} of {450}.

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Solution for 450 is what percent of 20:

450:20*100 =

(450*100):20 =

45000:20 = 2250

Now we have: 450 is what percent of 20 = 2250

Question: 450 is what percent of 20?

Percentage solution with steps:

Step 1: We make the assumption that 20 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\%}={20}.

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

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

{100\%}={20}(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{20}{450}

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

\frac{x\%}{100\%}=\frac{450}{20}

\Rightarrow{x} = {2250\%}

Therefore, {450} is {2250\%} of {20}.