107.87 is what percent of 169.85 - 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 169.85 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 169.85, so we can write it down as 100%=169.85.
4. We know, that x% equals 107.87 of the output value, so we can write it down as x%=107.87.
5. Now we have two simple equations:
1) 100%=169.85
2) x%=107.87
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%=169.85/107.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 107.87 is what percent of 169.85

100%/x%=169.85/107.87
(100/x)*x=(169.85/107.87)*x       - we multiply both sides of the equation by x
100=1.5745805135812*x       - we divide both sides of the equation by (1.5745805135812) to get x
100/1.5745805135812=x
63.50897851045=x
x=63.50897851045

now we have:
107.87 is 63.50897851045% of 169.85