Solution for 1.65 is what percent of 8.25:

1.65:8.25*100 =

(1.65*100):8.25 =

165:8.25 = 20

Now we have: 1.65 is what percent of 8.25 = 20

Question: 1.65 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\%}={1.65}.

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

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

{x\%}={1.65}(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}{1.65}

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

\frac{x\%}{100\%}=\frac{1.65}{8.25}

\Rightarrow{x} = {20\%}

Therefore, {1.65} is {20\%} of {8.25}.

Solution for 8.25 is what percent of 1.65:

8.25:1.65*100 =

(8.25*100):1.65 =

825:1.65 = 500

Now we have: 8.25 is what percent of 1.65 = 500

Question: 8.25 is what percent of 1.65?

Percentage solution with steps:

Step 1: We make the assumption that 1.65 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\%}={1.65}.

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

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

{100\%}={1.65}(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{1.65}{8.25}

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

\frac{x\%}{100\%}=\frac{8.25}{1.65}

\Rightarrow{x} = {500\%}

Therefore, {8.25} is {500\%} of {1.65}.

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