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Solution for 25.00 is what percent of 30:

25.00:30*100 =

(25.00*100):30 =

2500:30 = 83.333333333333

Now we have: 25.00 is what percent of 30 = 83.333333333333

Question: 25.00 is what percent of 30?

Percentage solution with steps:

Step 1: We make the assumption that 30 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\%}={30}.

Step 4: In the same vein, {x\%}={25.00}.

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

{100\%}={30}(1).

{x\%}={25.00}(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{30}{25.00}

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

\frac{x\%}{100\%}=\frac{25.00}{30}

\Rightarrow{x} = {83.333333333333\%}

Therefore, {25.00} is {83.333333333333\%} of {30}.

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Solution for 30 is what percent of 25.00:

30:25.00*100 =

(30*100):25.00 =

3000:25.00 = 120

Now we have: 30 is what percent of 25.00 = 120

Question: 30 is what percent of 25.00?

Percentage solution with steps:

Step 1: We make the assumption that 25.00 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\%}={25.00}.

Step 4: In the same vein, {x\%}={30}.

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

{100\%}={25.00}(1).

{x\%}={30}(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{25.00}{30}

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

\frac{x\%}{100\%}=\frac{30}{25.00}

\Rightarrow{x} = {120\%}

Therefore, {30} is {120\%} of {25.00}.