79.45 is what percent of 1149.3 - 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 1149.3 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 1149.3, so we can write it down as 100%=1149.3.
4. We know, that x% equals 79.45 of the output value, so we can write it down as x%=79.45.
5. Now we have two simple equations:
1) 100%=1149.3
2) x%=79.45
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%=1149.3/79.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 79.45 is what percent of 1149.3

100%/x%=1149.3/79.45
(100/x)*x=(1149.3/79.45)*x       - we multiply both sides of the equation by x
100=14.465701699182*x       - we divide both sides of the equation by (14.465701699182) to get x
100/14.465701699182=x
6.9129035064822=x
x=6.9129035064822

now we have:
79.45 is 6.9129035064822% of 1149.3