167.93 is what percent of 2702.64 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 2702.64 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 2702.64, so we can write it down as 100%=2702.64.
4. We know, that x% equals 167.93 of the output value, so we can write it down as x%=167.93.
5. Now we have two simple equations:
1) 100%=2702.64
2) x%=167.93
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=2702.64/167.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 167.93 is what percent of 2702.64

100%/x%=2702.64/167.93
(100/x)*x=(2702.64/167.93)*x       - we multiply both sides of the equation by x
100=16.093848627404*x       - we divide both sides of the equation by (16.093848627404) to get x
100/16.093848627404=x
6.2135541544564=x
x=6.2135541544564

now we have:
167.93 is 6.2135541544564% of 2702.64