#### Solution for 6 is what percent of 250:

6:250*100 =

(6*100):250 =

600:250 = 2.4

Now we have: 6 is what percent of 250 = 2.4

Question: 6 is what percent of 250?

Percentage solution with steps:

Step 1: We make the assumption that 250 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\%}={250}.

Step 4: In the same vein, {x\%}={6}.

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

{100\%}={250}(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{250}{6}

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

\frac{x\%}{100\%}=\frac{6}{250}

\Rightarrow{x} = {2.4\%}

Therefore, {6} is {2.4\%} of {250}.

#### Solution for 250 is what percent of 6:

250:6*100 =

(250*100):6 =

25000:6 = 4166.67

Now we have: 250 is what percent of 6 = 4166.67

Question: 250 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\%}={250}.

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

{100\%}={6}(1).

{x\%}={250}(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}{250}

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

\frac{x\%}{100\%}=\frac{250}{6}

\Rightarrow{x} = {4166.67\%}

Therefore, {250} is {4166.67\%} of {6}.

Calculation Samples