#### Solution for 20 is what percent of 233:

20:233*100 =

(20*100):233 =

2000:233 = 8.58

Now we have: 20 is what percent of 233 = 8.58

Question: 20 is what percent of 233?

Percentage solution with steps:

Step 1: We make the assumption that 233 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\%}={233}.

Step 4: In the same vein, {x\%}={20}.

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

{100\%}={233}(1).

{x\%}={20}(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{233}{20}

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

\frac{x\%}{100\%}=\frac{20}{233}

\Rightarrow{x} = {8.58\%}

Therefore, {20} is {8.58\%} of {233}.

#### Solution for 233 is what percent of 20:

233:20*100 =

(233*100):20 =

23300:20 = 1165

Now we have: 233 is what percent of 20 = 1165

Question: 233 is what percent of 20?

Percentage solution with steps:

Step 1: We make the assumption that 20 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\%}={20}.

Step 4: In the same vein, {x\%}={233}.

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

{100\%}={20}(1).

{x\%}={233}(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{20}{233}

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

\frac{x\%}{100\%}=\frac{233}{20}

\Rightarrow{x} = {1165\%}

Therefore, {233} is {1165\%} of {20}.

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