#### Solution for 83.63 is what percent of 89.48:

83.63:89.48*100 =

(83.63*100):89.48 =

8363:89.48 = 93.462226195798

Now we have: 83.63 is what percent of 89.48 = 93.462226195798

Question: 83.63 is what percent of 89.48?

Percentage solution with steps:

Step 1: We make the assumption that 89.48 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\%}={89.48}.

Step 4: In the same vein, {x\%}={83.63}.

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

{100\%}={89.48}(1).

{x\%}={83.63}(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{89.48}{83.63}

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

\frac{x\%}{100\%}=\frac{83.63}{89.48}

\Rightarrow{x} = {93.462226195798\%}

Therefore, {83.63} is {93.462226195798\%} of {89.48}.

#### Solution for 89.48 is what percent of 83.63:

89.48:83.63*100 =

(89.48*100):83.63 =

8948:83.63 = 106.99509745307

Now we have: 89.48 is what percent of 83.63 = 106.99509745307

Question: 89.48 is what percent of 83.63?

Percentage solution with steps:

Step 1: We make the assumption that 83.63 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\%}={83.63}.

Step 4: In the same vein, {x\%}={89.48}.

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

{100\%}={83.63}(1).

{x\%}={89.48}(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{83.63}{89.48}

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

\frac{x\%}{100\%}=\frac{89.48}{83.63}

\Rightarrow{x} = {106.99509745307\%}

Therefore, {89.48} is {106.99509745307\%} of {83.63}.

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