#### Solution for 90 is what percent of 140:

90:140*100 =

(90*100):140 =

9000:140 = 64.29

Now we have: 90 is what percent of 140 = 64.29

Question: 90 is what percent of 140?

Percentage solution with steps:

Step 1: We make the assumption that 140 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\%}={140}.

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

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

{100\%}={140}(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{140}{90}

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

\frac{x\%}{100\%}=\frac{90}{140}

\Rightarrow{x} = {64.29\%}

Therefore, {90} is {64.29\%} of {140}.

#### Solution for 140 is what percent of 90:

140:90*100 =

(140*100):90 =

14000:90 = 155.56

Now we have: 140 is what percent of 90 = 155.56

Question: 140 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\%}={140}.

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

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

{x\%}={140}(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}{140}

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

\frac{x\%}{100\%}=\frac{140}{90}

\Rightarrow{x} = {155.56\%}

Therefore, {140} is {155.56\%} of {90}.

Calculation Samples