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Solution for 118 is what percent of 85:

118:85*100 =

(118*100):85 =

11800:85 = 138.82

Now we have: 118 is what percent of 85 = 138.82

Question: 118 is what percent of 85?

Percentage solution with steps:

Step 1: We make the assumption that 85 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\%}={85}.

Step 4: In the same vein, {x\%}={118}.

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

{100\%}={85}(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{85}{118}

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

\frac{x\%}{100\%}=\frac{118}{85}

\Rightarrow{x} = {138.82\%}

Therefore, {118} is {138.82\%} of {85}.

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Solution for 85 is what percent of 118:

85:118*100 =

(85*100):118 =

8500:118 = 72.03

Now we have: 85 is what percent of 118 = 72.03

Question: 85 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\%}={85}.

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

{100\%}={118}(1).

{x\%}={85}(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}{85}

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

\frac{x\%}{100\%}=\frac{85}{118}

\Rightarrow{x} = {72.03\%}

Therefore, {85} is {72.03\%} of {118}.