1118.29 is what percent of 1389.13 - 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 1389.13 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 1389.13, so we can write it down as 100%=1389.13.
4. We know, that x% equals 1118.29 of the output value, so we can write it down as x%=1118.29.
5. Now we have two simple equations:
1) 100%=1389.13
2) x%=1118.29
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%=1389.13/1118.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1118.29 is what percent of 1389.13

100%/x%=1389.13/1118.29
(100/x)*x=(1389.13/1118.29)*x       - we multiply both sides of the equation by x
100=1.2421912026397*x       - we divide both sides of the equation by (1.2421912026397) to get x
100/1.2421912026397=x
80.502904695745=x
x=80.502904695745

now we have:
1118.29 is 80.502904695745% of 1389.13