69 is what percent of 160 - 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 160 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 160, so we can write it down as 100%=160.
4. We know, that x% equals 69 of the output value, so we can write it down as x%=69.
5. Now we have two simple equations:
1) 100%=160
2) x%=69
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%=160/69
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 69 is what percent of 160

100%/x%=160/69
(100/x)*x=(160/69)*x       - we multiply both sides of the equation by x
100=2.3188405797101*x       - we divide both sides of the equation by (2.3188405797101) to get x
100/2.3188405797101=x
43.125=x
x=43.125

now we have:
69 is 43.125% of 160