What is 85.44 percent of 159 - 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 159 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 159 is 100%, so we can write it down as 159=100%.
4. We know, that x is 85.44% of the output value, so we can write it down as x=85.44%.
5. Now we have two simple equations:
1) 159=100%
2) x=85.44%
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:
159/x=100%/85.44%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 85.44% of 159

159/x=100/85.44
(159/x)*x=(100/85.44)*x       - we multiply both sides of the equation by x
159=1.1704119850187*x       - we divide both sides of the equation by (1.1704119850187) to get x
159/1.1704119850187=x
135.8496=x
x=135.8496

now we have:
85.44% of 159=135.8496