34.87 is what percent of 34.15 - 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 34.15 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 34.15, so we can write it down as 100%=34.15.
4. We know, that x% equals 34.87 of the output value, so we can write it down as x%=34.87.
5. Now we have two simple equations:
1) 100%=34.15
2) x%=34.87
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%=34.15/34.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 34.87 is what percent of 34.15

100%/x%=34.15/34.87
(100/x)*x=(34.15/34.87)*x       - we multiply both sides of the equation by x
100=0.97935187840551*x       - we divide both sides of the equation by (0.97935187840551) to get x
100/0.97935187840551=x
102.10834553441=x
x=102.10834553441

now we have:
34.87 is 102.10834553441% of 34.15