164.62 is what percent of 2740.75 - 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 2740.75 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 2740.75, so we can write it down as 100%=2740.75.
4. We know, that x% equals 164.62 of the output value, so we can write it down as x%=164.62.
5. Now we have two simple equations:
1) 100%=2740.75
2) x%=164.62
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%=2740.75/164.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 164.62 is what percent of 2740.75

100%/x%=2740.75/164.62
(100/x)*x=(2740.75/164.62)*x       - we multiply both sides of the equation by x
100=16.648949094885*x       - we divide both sides of the equation by (16.648949094885) to get x
100/16.648949094885=x
6.0063851135638=x
x=6.0063851135638

now we have:
164.62 is 6.0063851135638% of 2740.75