2870.75 is what percent of 9670 - 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 9670 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 9670, so we can write it down as 100%=9670.
4. We know, that x% equals 2870.75 of the output value, so we can write it down as x%=2870.75.
5. Now we have two simple equations:
1) 100%=9670
2) x%=2870.75
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%=9670/2870.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 2870.75 is what percent of 9670

100%/x%=9670/2870.75
(100/x)*x=(9670/2870.75)*x       - we multiply both sides of the equation by x
100=3.368457720108*x       - we divide both sides of the equation by (3.368457720108) to get x
100/3.368457720108=x
29.687176835574=x
x=29.687176835574

now we have:
2870.75 is 29.687176835574% of 9670