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Solution for 785 is what percent of 40:

785:40*100 =

(785*100):40 =

78500:40 = 1962.5

Now we have: 785 is what percent of 40 = 1962.5

Question: 785 is what percent of 40?

Percentage solution with steps:

Step 1: We make the assumption that 40 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\%}={40}.

Step 4: In the same vein, {x\%}={785}.

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

{100\%}={40}(1).

{x\%}={785}(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{40}{785}

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

\frac{x\%}{100\%}=\frac{785}{40}

\Rightarrow{x} = {1962.5\%}

Therefore, {785} is {1962.5\%} of {40}.

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• 785 is what percent of 100 = 785

Solution for 40 is what percent of 785:

40:785*100 =

(40*100):785 =

4000:785 = 5.1

Now we have: 40 is what percent of 785 = 5.1

Question: 40 is what percent of 785?

Percentage solution with steps:

Step 1: We make the assumption that 785 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\%}={785}.

Step 4: In the same vein, {x\%}={40}.

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

{100\%}={785}(1).

{x\%}={40}(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{785}{40}

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

\frac{x\%}{100\%}=\frac{40}{785}

\Rightarrow{x} = {5.1\%}

Therefore, {40} is {5.1\%} of {785}.