6009.13 is what percent of 6902.38 - 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 6902.38 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 6902.38, so we can write it down as 100%=6902.38.
4. We know, that x% equals 6009.13 of the output value, so we can write it down as x%=6009.13.
5. Now we have two simple equations:
1) 100%=6902.38
2) x%=6009.13
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%=6902.38/6009.13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6009.13 is what percent of 6902.38

100%/x%=6902.38/6009.13
(100/x)*x=(6902.38/6009.13)*x       - we multiply both sides of the equation by x
100=1.1486488060668*x       - we divide both sides of the equation by (1.1486488060668) to get x
100/1.1486488060668=x
87.058811598318=x
x=87.058811598318

now we have:
6009.13 is 87.058811598318% of 6902.38