164.75 is what percent of 340 - 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 340 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 340, so we can write it down as 100%=340.
4. We know, that x% equals 164.75 of the output value, so we can write it down as x%=164.75.
5. Now we have two simple equations:
1) 100%=340
2) x%=164.75
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%=340/164.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 164.75 is what percent of 340

100%/x%=340/164.75
(100/x)*x=(340/164.75)*x       - we multiply both sides of the equation by x
100=2.0637329286798*x       - we divide both sides of the equation by (2.0637329286798) to get x
100/2.0637329286798=x
48.455882352941=x
x=48.455882352941

now we have:
164.75 is 48.455882352941% of 340