Percentage Calculator: -3 is what percent of 45? = -6.67

Solution for -3 is what percent of 45:

-3:45*100 =

(-3*100):45 =

-300:45 = -6.67

Now we have: -3 is what percent of 45 = -6.67

Question: -3 is what percent of 45?

Percentage solution with steps:

Step 1: We make the assumption that 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\%}={45}.

Step 4: In the same vein, {x\%}={-3}.

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

{100\%}={45}(1).

{x\%}={-3}(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{45}{-3}

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

\frac{x\%}{100\%}=\frac{-3}{45}

\Rightarrow{x} = {-6.67\%}

Therefore, {-3} is {-6.67\%} of {45}.

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Solution for 45 is what percent of -3:

45:-3*100 =

(45*100):-3 =

4500:-3 = -1500

Now we have: 45 is what percent of -3 = -1500

Question: 45 is what percent of -3?

Percentage solution with steps:

Step 1: We make the assumption that -3 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\%}={-3}.

Step 4: In the same vein, {x\%}={45}.

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

{100\%}={-3}(1).

{x\%}={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{-3}{45}

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

\frac{x\%}{100\%}=\frac{45}{-3}

\Rightarrow{x} = {-1500\%}

Therefore, {45} is {-1500\%} of {-3}.

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