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Solution for 280 is what percent of 20:

280:20*100 =

(280*100):20 =

28000:20 = 1400

Now we have: 280 is what percent of 20 = 1400

Question: 280 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\%}={280}.

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

{100\%}={20}(1).

{x\%}={280}(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}{280}

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

\frac{x\%}{100\%}=\frac{280}{20}

\Rightarrow{x} = {1400\%}

Therefore, {280} is {1400\%} of {20}.

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Solution for 20 is what percent of 280:

20:280*100 =

(20*100):280 =

2000:280 = 7.14

Now we have: 20 is what percent of 280 = 7.14

Question: 20 is what percent of 280?

Percentage solution with steps:

Step 1: We make the assumption that 280 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\%}={280}.

Step 4: In the same vein, {x\%}={20}.

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

{100\%}={280}(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{280}{20}

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

\frac{x\%}{100\%}=\frac{20}{280}

\Rightarrow{x} = {7.14\%}

Therefore, {20} is {7.14\%} of {280}.