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Solution for 110 is what percent of 90:

110:90*100 =

(110*100):90 =

11000:90 = 122.22

Now we have: 110 is what percent of 90 = 122.22

Question: 110 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\%}={110}.

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

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

{x\%}={110}(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}{110}

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

\frac{x\%}{100\%}=\frac{110}{90}

\Rightarrow{x} = {122.22\%}

Therefore, {110} is {122.22\%} of {90}.

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Solution for 90 is what percent of 110:

90:110*100 =

(90*100):110 =

9000:110 = 81.82

Now we have: 90 is what percent of 110 = 81.82

Question: 90 is what percent of 110?

Percentage solution with steps:

Step 1: We make the assumption that 110 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\%}={110}.

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

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

{100\%}={110}(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{110}{90}

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

\frac{x\%}{100\%}=\frac{90}{110}

\Rightarrow{x} = {81.82\%}

Therefore, {90} is {81.82\%} of {110}.