Percentage Calculator

Solution for -109 is what percent of 75:

-109:75*100 =

(-109*100):75 =

-10900:75 = -145.33

Now we have: -109 is what percent of 75 = -145.33

Question: -109 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\%}={-109}.

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

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

{x\%}={-109}(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}{-109}

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

\frac{x\%}{100\%}=\frac{-109}{75}

\Rightarrow{x} = {-145.33\%}

Therefore, {-109} is {-145.33\%} of {75}.

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• -109 is what percent of 100 = -109

Solution for 75 is what percent of -109:

75:-109*100 =

(75*100):-109 =

7500:-109 = -68.81

Now we have: 75 is what percent of -109 = -68.81

Question: 75 is what percent of -109?

Percentage solution with steps:

Step 1: We make the assumption that -109 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\%}={-109}.

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

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

{100\%}={-109}(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{-109}{75}

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

\frac{x\%}{100\%}=\frac{75}{-109}

\Rightarrow{x} = {-68.81\%}

Therefore, {75} is {-68.81\%} of {-109}.