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Solution for 20 is what percent of 118:

20:118*100 =

(20*100):118 =

2000:118 = 16.95

Now we have: 20 is what percent of 118 = 16.95

Question: 20 is what percent of 118?

Percentage solution with steps:

Step 1: We make the assumption that 118 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\%}={118}.

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

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

{100\%}={118}(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{118}{20}

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

\frac{x\%}{100\%}=\frac{20}{118}

\Rightarrow{x} = {16.95\%}

Therefore, {20} is {16.95\%} of {118}.

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Solution for 118 is what percent of 20:

118:20*100 =

(118*100):20 =

11800:20 = 590

Now we have: 118 is what percent of 20 = 590

Question: 118 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\%}={118}.

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

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

{x\%}={118}(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}{118}

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

\frac{x\%}{100\%}=\frac{118}{20}

\Rightarrow{x} = {590\%}

Therefore, {118} is {590\%} of {20}.