793.34 is what percent of 1115.44 - 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 1115.44 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 1115.44, so we can write it down as 100%=1115.44.
4. We know, that x% equals 793.34 of the output value, so we can write it down as x%=793.34.
5. Now we have two simple equations:
1) 100%=1115.44
2) x%=793.34
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%=1115.44/793.34
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 793.34 is what percent of 1115.44

100%/x%=1115.44/793.34
(100/x)*x=(1115.44/793.34)*x       - we multiply both sides of the equation by x
100=1.4060049915547*x       - we divide both sides of the equation by (1.4060049915547) to get x
100/1.4060049915547=x
71.123502832963=x
x=71.123502832963

now we have:
793.34 is 71.123502832963% of 1115.44