#### Solution for 0.33 is what percent of 90:

0.33:90*100 =

(0.33*100):90 =

33:90 = 0.36666666666667

Now we have: 0.33 is what percent of 90 = 0.36666666666667

Question: 0.33 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\%}={0.33}.

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

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

{x\%}={0.33}(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}{0.33}

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

\frac{x\%}{100\%}=\frac{0.33}{90}

\Rightarrow{x} = {0.36666666666667\%}

Therefore, {0.33} is {0.36666666666667\%} of {90}.

#### Solution for 90 is what percent of 0.33:

90:0.33*100 =

(90*100):0.33 =

9000:0.33 = 27272.727272727

Now we have: 90 is what percent of 0.33 = 27272.727272727

Question: 90 is what percent of 0.33?

Percentage solution with steps:

Step 1: We make the assumption that 0.33 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\%}={0.33}.

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

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

{100\%}={0.33}(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{0.33}{90}

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

\frac{x\%}{100\%}=\frac{90}{0.33}

\Rightarrow{x} = {27272.727272727\%}

Therefore, {90} is {27272.727272727\%} of {0.33}.

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