994.16 is what percent of 1164 - 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 1164 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 1164, so we can write it down as 100%=1164.
4. We know, that x% equals 994.16 of the output value, so we can write it down as x%=994.16.
5. Now we have two simple equations:
1) 100%=1164
2) x%=994.16
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%=1164/994.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 994.16 is what percent of 1164

100%/x%=1164/994.16
(100/x)*x=(1164/994.16)*x       - we multiply both sides of the equation by x
100=1.170837692122*x       - we divide both sides of the equation by (1.170837692122) to get x
100/1.170837692122=x
85.408934707904=x
x=85.408934707904

now we have:
994.16 is 85.408934707904% of 1164