#### Solution for 0.20 is what percent of 89.50:

0.20:89.50*100 =

(0.20*100):89.50 =

20:89.50 = 0.22346368715084

Now we have: 0.20 is what percent of 89.50 = 0.22346368715084

Question: 0.20 is what percent of 89.50?

Percentage solution with steps:

Step 1: We make the assumption that 89.50 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\%}={89.50}.

Step 4: In the same vein, {x\%}={0.20}.

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

{100\%}={89.50}(1).

{x\%}={0.20}(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{89.50}{0.20}

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

\frac{x\%}{100\%}=\frac{0.20}{89.50}

\Rightarrow{x} = {0.22346368715084\%}

Therefore, {0.20} is {0.22346368715084\%} of {89.50}.

#### Solution for 89.50 is what percent of 0.20:

89.50:0.20*100 =

(89.50*100):0.20 =

8950:0.20 = 44750

Now we have: 89.50 is what percent of 0.20 = 44750

Question: 89.50 is what percent of 0.20?

Percentage solution with steps:

Step 1: We make the assumption that 0.20 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\%}={0.20}.

Step 4: In the same vein, {x\%}={89.50}.

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

{100\%}={0.20}(1).

{x\%}={89.50}(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{0.20}{89.50}

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

\frac{x\%}{100\%}=\frac{89.50}{0.20}

\Rightarrow{x} = {44750\%}

Therefore, {89.50} is {44750\%} of {0.20}.

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