#### Solution for 280 is what percent of 220:

280:220*100 =

(280*100):220 =

28000:220 = 127.27

Now we have: 280 is what percent of 220 = 127.27

Question: 280 is what percent of 220?

Percentage solution with steps:

Step 1: We make the assumption that 220 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\%}={220}.

Step 4: In the same vein, {x\%}={280}.

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

{100\%}={220}(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{220}{280}

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

\frac{x\%}{100\%}=\frac{280}{220}

\Rightarrow{x} = {127.27\%}

Therefore, {280} is {127.27\%} of {220}.

#### Solution for 220 is what percent of 280:

220:280*100 =

(220*100):280 =

22000:280 = 78.57

Now we have: 220 is what percent of 280 = 78.57

Question: 220 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\%}={220}.

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

{100\%}={280}(1).

{x\%}={220}(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}{220}

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

\frac{x\%}{100\%}=\frac{220}{280}

\Rightarrow{x} = {78.57\%}

Therefore, {220} is {78.57\%} of {280}.

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