#### Solution for 8.4 is what percent of 25:

8.4:25*100 =

(8.4*100):25 =

840:25 = 33.6

Now we have: 8.4 is what percent of 25 = 33.6

Question: 8.4 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\%}={8.4}.

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

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

{x\%}={8.4}(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}{8.4}

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

\frac{x\%}{100\%}=\frac{8.4}{25}

\Rightarrow{x} = {33.6\%}

Therefore, {8.4} is {33.6\%} of {25}.

#### Solution for 25 is what percent of 8.4:

25:8.4*100 =

(25*100):8.4 =

2500:8.4 = 297.61904761905

Now we have: 25 is what percent of 8.4 = 297.61904761905

Question: 25 is what percent of 8.4?

Percentage solution with steps:

Step 1: We make the assumption that 8.4 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\%}={8.4}.

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

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

{100\%}={8.4}(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{8.4}{25}

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

\frac{x\%}{100\%}=\frac{25}{8.4}

\Rightarrow{x} = {297.61904761905\%}

Therefore, {25} is {297.61904761905\%} of {8.4}.

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