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Solution for 65 is what percent of 100:

65:100*100 =

( 65*100):100 =

6500:100 = 65

Now we have: 65 is what percent of 100 = 65

Question: 65 is what percent of 100?

Percentage solution with steps:

Step 1: We make the assumption that 100 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\%}={100}.

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

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

{100\%}={100}(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{100}{ 65}

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

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

\Rightarrow{x} = {65\%}

Therefore, { 65} is {65\%} of {100}.

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Solution for 100 is what percent of 65:

100: 65*100 =

(100*100): 65 =

10000: 65 = 153.85

Now we have: 100 is what percent of 65 = 153.85

Question: 100 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\%}={100}.

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

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

{x\%}={100}(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}{100}

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

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

\Rightarrow{x} = {153.85\%}

Therefore, {100} is {153.85\%} of { 65}.