165.6 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 165.6 of the output value, so we can write it down as x%=165.6.
5. Now we have two simple equations:
1) 100%=340
2) x%=165.6
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%=340/165.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 165.6 is what percent of 340

100%/x%=340/165.6
(100/x)*x=(340/165.6)*x       - we multiply both sides of the equation by x
100=2.0531400966184*x       - we divide both sides of the equation by (2.0531400966184) to get x
100/2.0531400966184=x
48.705882352941=x
x=48.705882352941

now we have:
165.6 is 48.705882352941% of 340