110052.8 is what percent of 107889.6 - 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 107889.6 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 107889.6, so we can write it down as 100%=107889.6.
4. We know, that x% equals 110052.8 of the output value, so we can write it down as x%=110052.8.
5. Now we have two simple equations:
1) 100%=107889.6
2) x%=110052.8
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%=107889.6/110052.8
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 110052.8 is what percent of 107889.6

100%/x%=107889.6/110052.8
(100/x)*x=(107889.6/110052.8)*x       - we multiply both sides of the equation by x
100=0.98034398034398*x       - we divide both sides of the equation by (0.98034398034398) to get x
100/0.98034398034398=x
102.00501253133=x
x=102.00501253133

now we have:
110052.8 is 102.00501253133% of 107889.6