102.9 is what percent of 114 - 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 114 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 114, so we can write it down as 100%=114.
4. We know, that x% equals 102.9 of the output value, so we can write it down as x%=102.9.
5. Now we have two simple equations:
1) 100%=114
2) x%=102.9
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%=114/102.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 102.9 is what percent of 114

100%/x%=114/102.9
(100/x)*x=(114/102.9)*x       - we multiply both sides of the equation by x
100=1.1078717201166*x       - we divide both sides of the equation by (1.1078717201166) to get x
100/1.1078717201166=x
90.263157894737=x
x=90.263157894737

now we have:
102.9 is 90.263157894737% of 114