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Solution for 3.0 is what percent of 65:

3.0:65*100 =

(3.0*100):65 =

300:65 = 4.6153846153846

Now we have: 3.0 is what percent of 65 = 4.6153846153846

Question: 3.0 is what percent of 65?

Percentage solution with steps:

Step 1: We make the assumption that 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\%}={65}.

Step 4: In the same vein, {x\%}={3.0}.

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

{100\%}={65}(1).

{x\%}={3.0}(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{65}{3.0}

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

\frac{x\%}{100\%}=\frac{3.0}{65}

\Rightarrow{x} = {4.6153846153846\%}

Therefore, {3.0} is {4.6153846153846\%} of {65}.

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• 3.0 is what percent of 100 = 3

Solution for 65 is what percent of 3.0:

65:3.0*100 =

(65*100):3.0 =

6500:3.0 = 2166.6666666667

Now we have: 65 is what percent of 3.0 = 2166.6666666667

Question: 65 is what percent of 3.0?

Percentage solution with steps:

Step 1: We make the assumption that 3.0 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\%}={3.0}.

Step 4: In the same vein, {x\%}={65}.

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

{100\%}={3.0}(1).

{x\%}={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{3.0}{65}

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

\frac{x\%}{100\%}=\frac{65}{3.0}

\Rightarrow{x} = {2166.6666666667\%}

Therefore, {65} is {2166.6666666667\%} of {3.0}.