309.5 is what percent of 345 - 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 345 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 345, so we can write it down as 100%=345.
4. We know, that x% equals 309.5 of the output value, so we can write it down as x%=309.5.
5. Now we have two simple equations:
1) 100%=345
2) x%=309.5
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%=345/309.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 309.5 is what percent of 345

100%/x%=345/309.5
(100/x)*x=(345/309.5)*x       - we multiply both sides of the equation by x
100=1.1147011308562*x       - we divide both sides of the equation by (1.1147011308562) to get x
100/1.1147011308562=x
89.710144927536=x
x=89.710144927536

now we have:
309.5 is 89.710144927536% of 345