#### Solution for 90 is what percent of 41:

90:41*100 =

(90*100):41 =

9000:41 = 219.51

Now we have: 90 is what percent of 41 = 219.51

Question: 90 is what percent of 41?

Percentage solution with steps:

Step 1: We make the assumption that 41 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}.

Step 4: In the same vein, {x\%}={90}.

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

{100\%}={41}(1).

{x\%}={90}(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}{90}

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

\frac{x\%}{100\%}=\frac{90}{41}

\Rightarrow{x} = {219.51\%}

Therefore, {90} is {219.51\%} of {41}.

#### Solution for 41 is what percent of 90:

41:90*100 =

(41*100):90 =

4100:90 = 45.56

Now we have: 41 is what percent of 90 = 45.56

Question: 41 is what percent of 90?

Percentage solution with steps:

Step 1: We make the assumption that 90 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\%}={90}.

Step 4: In the same vein, {x\%}={41}.

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

{100\%}={90}(1).

{x\%}={41}(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{90}{41}

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

\frac{x\%}{100\%}=\frac{41}{90}

\Rightarrow{x} = {45.56\%}

Therefore, {41} is {45.56\%} of {90}.

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