#### Solution for 100 is what percent of 113:

100:113*100 =

(100*100):113 =

10000:113 = 88.5

Now we have: 100 is what percent of 113 = 88.5

Question: 100 is what percent of 113?

Percentage solution with steps:

Step 1: We make the assumption that 113 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\%}={113}.

Step 4: In the same vein, {x\%}={100}.

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

{100\%}={113}(1).

{x\%}={100}(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{113}{100}

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

\frac{x\%}{100\%}=\frac{100}{113}

\Rightarrow{x} = {88.5\%}

Therefore, {100} is {88.5\%} of {113}.

#### Solution for 113 is what percent of 100:

113:100*100 =

(113*100):100 =

11300:100 = 113

Now we have: 113 is what percent of 100 = 113

Question: 113 is what percent of 100?

Percentage solution with steps:

Step 1: We make the assumption that 100 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\%}={100}.

Step 4: In the same vein, {x\%}={113}.

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

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

{x\%}={113}(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{100}{113}

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

\frac{x\%}{100\%}=\frac{113}{100}

\Rightarrow{x} = {113\%}

Therefore, {113} is {113\%} of {100}.

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