#### Solution for 460 is what percent of 690:

460:690*100 =

(460*100):690 =

46000:690 = 66.67

Now we have: 460 is what percent of 690 = 66.67

Question: 460 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\%}={460}.

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

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

{x\%}={460}(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}{460}

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

\frac{x\%}{100\%}=\frac{460}{690}

\Rightarrow{x} = {66.67\%}

Therefore, {460} is {66.67\%} of {690}.

#### Solution for 690 is what percent of 460:

690:460*100 =

(690*100):460 =

69000:460 = 150

Now we have: 690 is what percent of 460 = 150

Question: 690 is what percent of 460?

Percentage solution with steps:

Step 1: We make the assumption that 460 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\%}={460}.

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

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

{100\%}={460}(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{460}{690}

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

\frac{x\%}{100\%}=\frac{690}{460}

\Rightarrow{x} = {150\%}

Therefore, {690} is {150\%} of {460}.

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