#### Solution for 6 is what percent of 280:

6:280*100 =

(6*100):280 =

600:280 = 2.14

Now we have: 6 is what percent of 280 = 2.14

Question: 6 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\%}={6}.

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

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

{x\%}={6}(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}{6}

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

\frac{x\%}{100\%}=\frac{6}{280}

\Rightarrow{x} = {2.14\%}

Therefore, {6} is {2.14\%} of {280}.

#### Solution for 280 is what percent of 6:

280:6*100 =

(280*100):6 =

28000:6 = 4666.67

Now we have: 280 is what percent of 6 = 4666.67

Question: 280 is what percent of 6?

Percentage solution with steps:

Step 1: We make the assumption that 6 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\%}={6}.

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

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

{100\%}={6}(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{6}{280}

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

\frac{x\%}{100\%}=\frac{280}{6}

\Rightarrow{x} = {4666.67\%}

Therefore, {280} is {4666.67\%} of {6}.

Calculation Samples