86.75 is what percent of 161.75 - 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 161.75 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 161.75, so we can write it down as 100%=161.75.
4. We know, that x% equals 86.75 of the output value, so we can write it down as x%=86.75.
5. Now we have two simple equations:
1) 100%=161.75
2) x%=86.75
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%=161.75/86.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 86.75 is what percent of 161.75

100%/x%=161.75/86.75
(100/x)*x=(161.75/86.75)*x       - we multiply both sides of the equation by x
100=1.864553314121*x       - we divide both sides of the equation by (1.864553314121) to get x
100/1.864553314121=x
53.632148377125=x
x=53.632148377125

now we have:
86.75 is 53.632148377125% of 161.75