#### Solution for 835 is what percent of 1440:

835:1440*100 =

(835*100):1440 =

83500:1440 = 57.99

Now we have: 835 is what percent of 1440 = 57.99

Question: 835 is what percent of 1440?

Percentage solution with steps:

Step 1: We make the assumption that 1440 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\%}={1440}.

Step 4: In the same vein, {x\%}={835}.

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

{100\%}={1440}(1).

{x\%}={835}(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{1440}{835}

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

\frac{x\%}{100\%}=\frac{835}{1440}

\Rightarrow{x} = {57.99\%}

Therefore, {835} is {57.99\%} of {1440}.

#### Solution for 1440 is what percent of 835:

1440:835*100 =

(1440*100):835 =

144000:835 = 172.46

Now we have: 1440 is what percent of 835 = 172.46

Question: 1440 is what percent of 835?

Percentage solution with steps:

Step 1: We make the assumption that 835 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\%}={835}.

Step 4: In the same vein, {x\%}={1440}.

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

{100\%}={835}(1).

{x\%}={1440}(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{835}{1440}

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

\frac{x\%}{100\%}=\frac{1440}{835}

\Rightarrow{x} = {172.46\%}

Therefore, {1440} is {172.46\%} of {835}.

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