949.36 is what percent of 1140 - 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 1140 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 1140, so we can write it down as 100%=1140.
4. We know, that x% equals 949.36 of the output value, so we can write it down as x%=949.36.
5. Now we have two simple equations:
1) 100%=1140
2) x%=949.36
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%=1140/949.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 949.36 is what percent of 1140

100%/x%=1140/949.36
(100/x)*x=(1140/949.36)*x       - we multiply both sides of the equation by x
100=1.2008089660403*x       - we divide both sides of the equation by (1.2008089660403) to get x
100/1.2008089660403=x
83.277192982456=x
x=83.277192982456

now we have:
949.36 is 83.277192982456% of 1140