Solution for 6 is what percent of 23:

6:23*100 =

(6*100):23 =

600:23 = 26.09

Now we have: 6 is what percent of 23 = 26.09

Question: 6 is what percent of 23?

Percentage solution with steps:

Step 1: We make the assumption that 23 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\%}={23}.

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

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

{100\%}={23}(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{23}{6}

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

\frac{x\%}{100\%}=\frac{6}{23}

\Rightarrow{x} = {26.09\%}

Therefore, {6} is {26.09\%} of {23}.

Solution for 23 is what percent of 6:

23:6*100 =

(23*100):6 =

2300:6 = 383.33

Now we have: 23 is what percent of 6 = 383.33

Question: 23 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\%}={23}.

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

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

{x\%}={23}(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}{23}

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

\frac{x\%}{100\%}=\frac{23}{6}

\Rightarrow{x} = {383.33\%}

Therefore, {23} is {383.33\%} of {6}.