1164.97 is what percent of 6850 - 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 6850 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 6850, so we can write it down as 100%=6850.
4. We know, that x% equals 1164.97 of the output value, so we can write it down as x%=1164.97.
5. Now we have two simple equations:
1) 100%=6850
2) x%=1164.97
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%=6850/1164.97
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1164.97 is what percent of 6850

100%/x%=6850/1164.97
(100/x)*x=(6850/1164.97)*x       - we multiply both sides of the equation by x
100=5.8799797419676*x       - we divide both sides of the equation by (5.8799797419676) to get x
100/5.8799797419676=x
17.006861313869=x
x=17.006861313869

now we have:
1164.97 is 17.006861313869% of 6850