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Solution for 105.5 is what percent of 84:

105.5:84*100 =

(105.5*100):84 =

10550:84 = 125.59523809524

Now we have: 105.5 is what percent of 84 = 125.59523809524

Question: 105.5 is what percent of 84?

Percentage solution with steps:

Step 1: We make the assumption that 84 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\%}={84}.

Step 4: In the same vein, {x\%}={105.5}.

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

{100\%}={84}(1).

{x\%}={105.5}(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{84}{105.5}

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

\frac{x\%}{100\%}=\frac{105.5}{84}

\Rightarrow{x} = {125.59523809524\%}

Therefore, {105.5} is {125.59523809524\%} of {84}.

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• 105.5 is what percent of 100 = 105.5

Solution for 84 is what percent of 105.5:

84:105.5*100 =

(84*100):105.5 =

8400:105.5 = 79.620853080569

Now we have: 84 is what percent of 105.5 = 79.620853080569

Question: 84 is what percent of 105.5?

Percentage solution with steps:

Step 1: We make the assumption that 105.5 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\%}={105.5}.

Step 4: In the same vein, {x\%}={84}.

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

{100\%}={105.5}(1).

{x\%}={84}(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{105.5}{84}

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

\frac{x\%}{100\%}=\frac{84}{105.5}

\Rightarrow{x} = {79.620853080569\%}

Therefore, {84} is {79.620853080569\%} of {105.5}.