#### Solution for 56 is what percent of 280:

56:280*100 =

(56*100):280 =

5600:280 = 20

Now we have: 56 is what percent of 280 = 20

Question: 56 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\%}={56}.

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

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

{x\%}={56}(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}{56}

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

\frac{x\%}{100\%}=\frac{56}{280}

\Rightarrow{x} = {20\%}

Therefore, {56} is {20\%} of {280}.

#### Solution for 280 is what percent of 56:

280:56*100 =

(280*100):56 =

28000:56 = 500

Now we have: 280 is what percent of 56 = 500

Question: 280 is what percent of 56?

Percentage solution with steps:

Step 1: We make the assumption that 56 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\%}={56}.

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

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

{100\%}={56}(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{56}{280}

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

\frac{x\%}{100\%}=\frac{280}{56}

\Rightarrow{x} = {500\%}

Therefore, {280} is {500\%} of {56}.

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