#### Solution for 90 is what percent of 105:

90: 105*100 =

(90*100): 105 =

9000: 105 = 85.71

Now we have: 90 is what percent of 105 = 85.71

Question: 90 is what percent of 105?

Percentage solution with steps:

Step 1: We make the assumption that 105 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\%}={ 105}.

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

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

{100\%}={ 105}(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{ 105}{90}

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

\frac{x\%}{100\%}=\frac{90}{ 105}

\Rightarrow{x} = {85.71\%}

Therefore, {90} is {85.71\%} of { 105}.

#### Solution for 105 is what percent of 90:

105:90*100 =

( 105*100):90 =

10500:90 = 116.67

Now we have: 105 is what percent of 90 = 116.67

Question: 105 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\%}={ 105}.

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

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

{x\%}={ 105}(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}{ 105}

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

\frac{x\%}{100\%}=\frac{ 105}{90}

\Rightarrow{x} = {116.67\%}

Therefore, { 105} is {116.67\%} of {90}.

Calculation Samples