343.3 is what percent of 1156.22 - 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 1156.22 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 1156.22, so we can write it down as 100%=1156.22.
4. We know, that x% equals 343.3 of the output value, so we can write it down as x%=343.3.
5. Now we have two simple equations:
1) 100%=1156.22
2) x%=343.3
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%=1156.22/343.3
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 343.3 is what percent of 1156.22

100%/x%=1156.22/343.3
(100/x)*x=(1156.22/343.3)*x       - we multiply both sides of the equation by x
100=3.36795805418*x       - we divide both sides of the equation by (3.36795805418) to get x
100/3.36795805418=x
29.691581186971=x
x=29.691581186971

now we have:
343.3 is 29.691581186971% of 1156.22