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Solution for 118.00 is what percent of 40:

118.00:40*100 =

(118.00*100):40 =

11800:40 = 295

Now we have: 118.00 is what percent of 40 = 295

Question: 118.00 is what percent of 40?

Percentage solution with steps:

Step 1: We make the assumption that 40 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\%}={40}.

Step 4: In the same vein, {x\%}={118.00}.

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

{100\%}={40}(1).

{x\%}={118.00}(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{40}{118.00}

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

\frac{x\%}{100\%}=\frac{118.00}{40}

\Rightarrow{x} = {295\%}

Therefore, {118.00} is {295\%} of {40}.

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• 118.00 is what percent of 100 = 118

Solution for 40 is what percent of 118.00:

40:118.00*100 =

(40*100):118.00 =

4000:118.00 = 33.898305084746

Now we have: 40 is what percent of 118.00 = 33.898305084746

Question: 40 is what percent of 118.00?

Percentage solution with steps:

Step 1: We make the assumption that 118.00 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\%}={118.00}.

Step 4: In the same vein, {x\%}={40}.

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

{100\%}={118.00}(1).

{x\%}={40}(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{118.00}{40}

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

\frac{x\%}{100\%}=\frac{40}{118.00}

\Rightarrow{x} = {33.898305084746\%}

Therefore, {40} is {33.898305084746\%} of {118.00}.