943.38 is what percent of 1199.9 - 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 1199.9 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 1199.9, so we can write it down as 100%=1199.9.
4. We know, that x% equals 943.38 of the output value, so we can write it down as x%=943.38.
5. Now we have two simple equations:
1) 100%=1199.9
2) x%=943.38
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%=1199.9/943.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 943.38 is what percent of 1199.9

100%/x%=1199.9/943.38
(100/x)*x=(1199.9/943.38)*x       - we multiply both sides of the equation by x
100=1.2719158769531*x       - we divide both sides of the equation by (1.2719158769531) to get x
100/1.2719158769531=x
78.621551795983=x
x=78.621551795983

now we have:
943.38 is 78.621551795983% of 1199.9