#### Solution for 6.45 is what percent of 100:

6.45: 100*100 =

(6.45*100): 100 =

645: 100 = 6.45

Now we have: 6.45 is what percent of 100 = 6.45

Question: 6.45 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\%}={6.45}.

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

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

{x\%}={6.45}(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}{6.45}

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

\frac{x\%}{100\%}=\frac{6.45}{ 100}

\Rightarrow{x} = {6.45\%}

Therefore, {6.45} is {6.45\%} of { 100}.

#### Solution for 100 is what percent of 6.45:

100:6.45*100 =

( 100*100):6.45 =

10000:6.45 = 1550.3875968992

Now we have: 100 is what percent of 6.45 = 1550.3875968992

Question: 100 is what percent of 6.45?

Percentage solution with steps:

Step 1: We make the assumption that 6.45 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\%}={6.45}.

Step 4: In the same vein, {x\%}={ 100}.

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

{100\%}={6.45}(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{6.45}{ 100}

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

\frac{x\%}{100\%}=\frac{ 100}{6.45}

\Rightarrow{x} = {1550.3875968992\%}

Therefore, { 100} is {1550.3875968992\%} of {6.45}.

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