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Solution for 113 is what percent of 90:

113:90*100 =

(113*100):90 =

11300:90 = 125.56

Now we have: 113 is what percent of 90 = 125.56

Question: 113 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\%}={113}.

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

{100\%}={90}(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{90}{113}

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

\frac{x\%}{100\%}=\frac{113}{90}

\Rightarrow{x} = {125.56\%}

Therefore, {113} is {125.56\%} of {90}.

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Solution for 90 is what percent of 113:

90:113*100 =

(90*100):113 =

9000:113 = 79.65

Now we have: 90 is what percent of 113 = 79.65

Question: 90 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\%}={90}.

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

{100\%}={113}(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{113}{90}

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

\frac{x\%}{100\%}=\frac{90}{113}

\Rightarrow{x} = {79.65\%}

Therefore, {90} is {79.65\%} of {113}.