#### Solution for 7 is what percent of 280:

7:280*100 =

(7*100):280 =

700:280 = 2.5

Now we have: 7 is what percent of 280 = 2.5

Question: 7 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\%}={7}.

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

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

{x\%}={7}(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}{7}

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

\frac{x\%}{100\%}=\frac{7}{280}

\Rightarrow{x} = {2.5\%}

Therefore, {7} is {2.5\%} of {280}.

#### Solution for 280 is what percent of 7:

280:7*100 =

(280*100):7 =

28000:7 = 4000

Now we have: 280 is what percent of 7 = 4000

Question: 280 is what percent of 7?

Percentage solution with steps:

Step 1: We make the assumption that 7 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\%}={7}.

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

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

{100\%}={7}(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{7}{280}

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

\frac{x\%}{100\%}=\frac{280}{7}

\Rightarrow{x} = {4000\%}

Therefore, {280} is {4000\%} of {7}.

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