#### Solution for 75 is what percent of .866:

75:.866*100 =

(75*100):.866 =

7500:.866 = 8660.51

Now we have: 75 is what percent of .866 = 8660.51

Question: 75 is what percent of .866?

Percentage solution with steps:

Step 1: We make the assumption that .866 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\%}={.866}.

Step 4: In the same vein, {x\%}={75}.

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

{100\%}={.866}(1).

{x\%}={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{.866}{75}

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

\frac{x\%}{100\%}=\frac{75}{.866}

\Rightarrow{x} = {8660.51\%}

Therefore, {75} is {8660.51\%} of {.866}.

#### Solution for .866 is what percent of 75:

.866:75*100 =

(.866*100):75 =

86.6:75 = 1.15

Now we have: .866 is what percent of 75 = 1.15

Question: .866 is what percent of 75?

Percentage solution with steps:

Step 1: We make the assumption that 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\%}={75}.

Step 4: In the same vein, {x\%}={.866}.

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

{100\%}={75}(1).

{x\%}={.866}(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{75}{.866}

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

\frac{x\%}{100\%}=\frac{.866}{75}

\Rightarrow{x} = {1.15\%}

Therefore, {.866} is {1.15\%} of {75}.

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