#### Solution for 41.60 is what percent of 100:

41.60:100*100 =

(41.60*100):100 =

4160:100 = 41.6

Now we have: 41.60 is what percent of 100 = 41.6

Question: 41.60 is what percent of 100?

Percentage solution with steps:

Step 1: We make the assumption that 100 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\%}={100}.

Step 4: In the same vein, {x\%}={41.60}.

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

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

{x\%}={41.60}(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{100}{41.60}

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

\frac{x\%}{100\%}=\frac{41.60}{100}

\Rightarrow{x} = {41.6\%}

Therefore, {41.60} is {41.6\%} of {100}.

#### Solution for 100 is what percent of 41.60:

100:41.60*100 =

(100*100):41.60 =

10000:41.60 = 240.38461538462

Now we have: 100 is what percent of 41.60 = 240.38461538462

Question: 100 is what percent of 41.60?

Percentage solution with steps:

Step 1: We make the assumption that 41.60 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\%}={41.60}.

Step 4: In the same vein, {x\%}={100}.

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

{100\%}={41.60}(1).

{x\%}={100}(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{41.60}{100}

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

\frac{x\%}{100\%}=\frac{100}{41.60}

\Rightarrow{x} = {240.38461538462\%}

Therefore, {100} is {240.38461538462\%} of {41.60}.

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