#### Solution for 25 is what percent of 90.00:

25:90.00*100 =

(25*100):90.00 =

2500:90.00 = 27.777777777778

Now we have: 25 is what percent of 90.00 = 27.777777777778

Question: 25 is what percent of 90.00?

Percentage solution with steps:

Step 1: We make the assumption that 90.00 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\%}={90.00}.

Step 4: In the same vein, {x\%}={25}.

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

{100\%}={90.00}(1).

{x\%}={25}(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{90.00}{25}

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

\frac{x\%}{100\%}=\frac{25}{90.00}

\Rightarrow{x} = {27.777777777778\%}

Therefore, {25} is {27.777777777778\%} of {90.00}.

#### Solution for 90.00 is what percent of 25:

90.00:25*100 =

(90.00*100):25 =

9000:25 = 360

Now we have: 90.00 is what percent of 25 = 360

Question: 90.00 is what percent of 25?

Percentage solution with steps:

Step 1: We make the assumption that 25 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\%}={25}.

Step 4: In the same vein, {x\%}={90.00}.

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

{100\%}={25}(1).

{x\%}={90.00}(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{25}{90.00}

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

\frac{x\%}{100\%}=\frac{90.00}{25}

\Rightarrow{x} = {360\%}

Therefore, {90.00} is {360\%} of {25}.

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