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Solution for 8.25 is what percent of 8.40:

8.25:8.40*100 =

(8.25*100):8.40 =

825:8.40 = 98.214285714286

Now we have: 8.25 is what percent of 8.40 = 98.214285714286

Question: 8.25 is what percent of 8.40?

Percentage solution with steps:

Step 1: We make the assumption that 8.40 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\%}={8.40}.

Step 4: In the same vein, {x\%}={8.25}.

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

{100\%}={8.40}(1).

{x\%}={8.25}(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{8.40}{8.25}

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

\frac{x\%}{100\%}=\frac{8.25}{8.40}

\Rightarrow{x} = {98.214285714286\%}

Therefore, {8.25} is {98.214285714286\%} of {8.40}.

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Solution for 8.40 is what percent of 8.25:

8.40:8.25*100 =

(8.40*100):8.25 =

840:8.25 = 101.81818181818

Now we have: 8.40 is what percent of 8.25 = 101.81818181818

Question: 8.40 is what percent of 8.25?

Percentage solution with steps:

Step 1: We make the assumption that 8.25 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\%}={8.25}.

Step 4: In the same vein, {x\%}={8.40}.

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

{100\%}={8.25}(1).

{x\%}={8.40}(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{8.25}{8.40}

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

\frac{x\%}{100\%}=\frac{8.40}{8.25}

\Rightarrow{x} = {101.81818181818\%}

Therefore, {8.40} is {101.81818181818\%} of {8.25}.