#### Solution for 0.75 is what percent of .8:

0.75:.8*100 =

(0.75*100):.8 =

75:.8 = 93.75

Now we have: 0.75 is what percent of .8 = 93.75

Question: 0.75 is what percent of .8?

Percentage solution with steps:

Step 1: We make the assumption that .8 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}.

Step 4: In the same vein, {x\%}={0.75}.

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

{100\%}={.8}(1).

{x\%}={0.75}(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}{0.75}

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

\frac{x\%}{100\%}=\frac{0.75}{.8}

\Rightarrow{x} = {93.75\%}

Therefore, {0.75} is {93.75\%} of {.8}.

#### Solution for .8 is what percent of 0.75:

.8:0.75*100 =

(.8*100):0.75 =

80:0.75 = 106.66666666667

Now we have: .8 is what percent of 0.75 = 106.66666666667

Question: .8 is what percent of 0.75?

Percentage solution with steps:

Step 1: We make the assumption that 0.75 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\%}={0.75}.

Step 4: In the same vein, {x\%}={.8}.

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

{100\%}={0.75}(1).

{x\%}={.8}(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{0.75}{.8}

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

\frac{x\%}{100\%}=\frac{.8}{0.75}

\Rightarrow{x} = {106.66666666667\%}

Therefore, {.8} is {106.66666666667\%} of {0.75}.

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