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Solution for -20 is what percent of 53:

-20:53*100 =

(-20*100):53 =

-2000:53 = -37.74

Now we have: -20 is what percent of 53 = -37.74

Question: -20 is what percent of 53?

Percentage solution with steps:

Step 1: We make the assumption that 53 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\%}={53}.

Step 4: In the same vein, {x\%}={-20}.

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

{100\%}={53}(1).

{x\%}={-20}(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{53}{-20}

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

\frac{x\%}{100\%}=\frac{-20}{53}

\Rightarrow{x} = {-37.74\%}

Therefore, {-20} is {-37.74\%} of {53}.

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Solution for 53 is what percent of -20:

53:-20*100 =

(53*100):-20 =

5300:-20 = -265

Now we have: 53 is what percent of -20 = -265

Question: 53 is what percent of -20?

Percentage solution with steps:

Step 1: We make the assumption that -20 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\%}={-20}.

Step 4: In the same vein, {x\%}={53}.

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

{100\%}={-20}(1).

{x\%}={53}(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{-20}{53}

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

\frac{x\%}{100\%}=\frac{53}{-20}

\Rightarrow{x} = {-265\%}

Therefore, {53} is {-265\%} of {-20}.