118.93 is what percent of 1395.94 - 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 1395.94 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 1395.94, so we can write it down as 100%=1395.94.
4. We know, that x% equals 118.93 of the output value, so we can write it down as x%=118.93.
5. Now we have two simple equations:
1) 100%=1395.94
2) x%=118.93
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%=1395.94/118.93
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 118.93 is what percent of 1395.94

100%/x%=1395.94/118.93
(100/x)*x=(1395.94/118.93)*x       - we multiply both sides of the equation by x
100=11.737492642731*x       - we divide both sides of the equation by (11.737492642731) to get x
100/11.737492642731=x
8.5197071507371=x
x=8.5197071507371

now we have:
118.93 is 8.5197071507371% of 1395.94