#### Solution for 90 is what percent of 107:

90:107*100 =

(90*100):107 =

9000:107 = 84.11

Now we have: 90 is what percent of 107 = 84.11

Question: 90 is what percent of 107?

Percentage solution with steps:

Step 1: We make the assumption that 107 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\%}={107}.

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

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

{100\%}={107}(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{107}{90}

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

\frac{x\%}{100\%}=\frac{90}{107}

\Rightarrow{x} = {84.11\%}

Therefore, {90} is {84.11\%} of {107}.

#### Solution for 107 is what percent of 90:

107:90*100 =

(107*100):90 =

10700:90 = 118.89

Now we have: 107 is what percent of 90 = 118.89

Question: 107 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\%}={107}.

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

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

{x\%}={107}(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}{107}

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

\frac{x\%}{100\%}=\frac{107}{90}

\Rightarrow{x} = {118.89\%}

Therefore, {107} is {118.89\%} of {90}.

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