110.25 is what percent of 142.86 - 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 142.86 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 142.86, so we can write it down as 100%=142.86.
4. We know, that x% equals 110.25 of the output value, so we can write it down as x%=110.25.
5. Now we have two simple equations:
1) 100%=142.86
2) x%=110.25
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%=142.86/110.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 110.25 is what percent of 142.86

100%/x%=142.86/110.25
(100/x)*x=(142.86/110.25)*x       - we multiply both sides of the equation by x
100=1.2957823129252*x       - we divide both sides of the equation by (1.2957823129252) to get x
100/1.2957823129252=x
77.173456530869=x
x=77.173456530869

now we have:
110.25 is 77.173456530869% of 142.86