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Solution for 670 is what percent of 850:

670:850*100 =

(670*100):850 =

67000:850 = 78.82

Now we have: 670 is what percent of 850 = 78.82

Question: 670 is what percent of 850?

Percentage solution with steps:

Step 1: We make the assumption that 850 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\%}={850}.

Step 4: In the same vein, {x\%}={670}.

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

{100\%}={850}(1).

{x\%}={670}(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{850}{670}

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

\frac{x\%}{100\%}=\frac{670}{850}

\Rightarrow{x} = {78.82\%}

Therefore, {670} is {78.82\%} of {850}.

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Solution for 850 is what percent of 670:

850:670*100 =

(850*100):670 =

85000:670 = 126.87

Now we have: 850 is what percent of 670 = 126.87

Question: 850 is what percent of 670?

Percentage solution with steps:

Step 1: We make the assumption that 670 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\%}={670}.

Step 4: In the same vein, {x\%}={850}.

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

{100\%}={670}(1).

{x\%}={850}(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{670}{850}

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

\frac{x\%}{100\%}=\frac{850}{670}

\Rightarrow{x} = {126.87\%}

Therefore, {850} is {126.87\%} of {670}.