#### Solution for 110 is what percent of 536:

110:536*100 =

(110*100):536 =

11000:536 = 20.52

Now we have: 110 is what percent of 536 = 20.52

Question: 110 is what percent of 536?

Percentage solution with steps:

Step 1: We make the assumption that 536 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\%}={536}.

Step 4: In the same vein, {x\%}={110}.

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

{100\%}={536}(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{536}{110}

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

\frac{x\%}{100\%}=\frac{110}{536}

\Rightarrow{x} = {20.52\%}

Therefore, {110} is {20.52\%} of {536}.

#### Solution for 536 is what percent of 110:

536:110*100 =

(536*100):110 =

53600:110 = 487.27

Now we have: 536 is what percent of 110 = 487.27

Question: 536 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\%}={536}.

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

{100\%}={110}(1).

{x\%}={536}(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}{536}

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

\frac{x\%}{100\%}=\frac{536}{110}

\Rightarrow{x} = {487.27\%}

Therefore, {536} is {487.27\%} of {110}.

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