#### Solution for 1586 is what percent of 1850:

1586:1850*100 =

(1586*100):1850 =

158600:1850 = 85.73

Now we have: 1586 is what percent of 1850 = 85.73

Question: 1586 is what percent of 1850?

Percentage solution with steps:

Step 1: We make the assumption that 1850 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\%}={1850}.

Step 4: In the same vein, {x\%}={1586}.

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

{100\%}={1850}(1).

{x\%}={1586}(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{1850}{1586}

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

\frac{x\%}{100\%}=\frac{1586}{1850}

\Rightarrow{x} = {85.73\%}

Therefore, {1586} is {85.73\%} of {1850}.

#### Solution for 1850 is what percent of 1586:

1850:1586*100 =

(1850*100):1586 =

185000:1586 = 116.65

Now we have: 1850 is what percent of 1586 = 116.65

Question: 1850 is what percent of 1586?

Percentage solution with steps:

Step 1: We make the assumption that 1586 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\%}={1586}.

Step 4: In the same vein, {x\%}={1850}.

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

{100\%}={1586}(1).

{x\%}={1850}(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{1586}{1850}

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

\frac{x\%}{100\%}=\frac{1850}{1586}

\Rightarrow{x} = {116.65\%}

Therefore, {1850} is {116.65\%} of {1586}.

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