1.6 is what percent of 138.4 - 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 138.4 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 138.4, so we can write it down as 100%=138.4.
4. We know, that x% equals 1.6 of the output value, so we can write it down as x%=1.6.
5. Now we have two simple equations:
1) 100%=138.4
2) x%=1.6
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%=138.4/1.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.6 is what percent of 138.4

100%/x%=138.4/1.6
(100/x)*x=(138.4/1.6)*x       - we multiply both sides of the equation by x
100=86.5*x       - we divide both sides of the equation by (86.5) to get x
100/86.5=x
1.1560693641618=x
x=1.1560693641618

now we have:
1.6 is 1.1560693641618% of 138.4