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Solution for 670 is what percent of 55:

670:55*100 =

(670*100):55 =

67000:55 = 1218.18

Now we have: 670 is what percent of 55 = 1218.18

Question: 670 is what percent of 55?

Percentage solution with steps:

Step 1: We make the assumption that 55 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\%}={55}.

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

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

{100\%}={55}(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{55}{670}

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

\frac{x\%}{100\%}=\frac{670}{55}

\Rightarrow{x} = {1218.18\%}

Therefore, {670} is {1218.18\%} of {55}.

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Solution for 55 is what percent of 670:

55:670*100 =

(55*100):670 =

5500:670 = 8.21

Now we have: 55 is what percent of 670 = 8.21

Question: 55 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\%}={55}.

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

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

{x\%}={55}(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}{55}

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

\frac{x\%}{100\%}=\frac{55}{670}

\Rightarrow{x} = {8.21\%}

Therefore, {55} is {8.21\%} of {670}.