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Solution for 90 is what percent of 106.5:

90:106.5*100 =

(90*100):106.5 =

9000:106.5 = 84.507042253521

Now we have: 90 is what percent of 106.5 = 84.507042253521

Question: 90 is what percent of 106.5?

Percentage solution with steps:

Step 1: We make the assumption that 106.5 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\%}={106.5}.

Step 4: In the same vein, {x\%}={90}.

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

{100\%}={106.5}(1).

{x\%}={90}(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{106.5}{90}

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

\frac{x\%}{100\%}=\frac{90}{106.5}

\Rightarrow{x} = {84.507042253521\%}

Therefore, {90} is {84.507042253521\%} of {106.5}.

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• 90 is what percent of 100 = 90

Solution for 106.5 is what percent of 90:

106.5:90*100 =

(106.5*100):90 =

10650:90 = 118.33333333333

Now we have: 106.5 is what percent of 90 = 118.33333333333

Question: 106.5 is what percent of 90?

Percentage solution with steps:

Step 1: We make the assumption that 90 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\%}={90}.

Step 4: In the same vein, {x\%}={106.5}.

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

{100\%}={90}(1).

{x\%}={106.5}(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{90}{106.5}

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

\frac{x\%}{100\%}=\frac{106.5}{90}

\Rightarrow{x} = {118.33333333333\%}

Therefore, {106.5} is {118.33333333333\%} of {90}.