#### Solution for 490 is what percent of 690:

490:690*100 =

(490*100):690 =

49000:690 = 71.01

Now we have: 490 is what percent of 690 = 71.01

Question: 490 is what percent of 690?

Percentage solution with steps:

Step 1: We make the assumption that 690 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\%}={690}.

Step 4: In the same vein, {x\%}={490}.

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

{100\%}={690}(1).

{x\%}={490}(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{690}{490}

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

\frac{x\%}{100\%}=\frac{490}{690}

\Rightarrow{x} = {71.01\%}

Therefore, {490} is {71.01\%} of {690}.

#### Solution for 690 is what percent of 490:

690:490*100 =

(690*100):490 =

69000:490 = 140.82

Now we have: 690 is what percent of 490 = 140.82

Question: 690 is what percent of 490?

Percentage solution with steps:

Step 1: We make the assumption that 490 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\%}={490}.

Step 4: In the same vein, {x\%}={690}.

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

{100\%}={490}(1).

{x\%}={690}(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{490}{690}

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

\frac{x\%}{100\%}=\frac{690}{490}

\Rightarrow{x} = {140.82\%}

Therefore, {690} is {140.82\%} of {490}.

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