280.55 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 280.55 of the output value, so we can write it down as x%=280.55.
5. Now we have two simple equations:
1) 100%=345
2) x%=280.55
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%=345/280.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 280.55 is what percent of 345

100%/x%=345/280.55
(100/x)*x=(345/280.55)*x       - we multiply both sides of the equation by x
100=1.2297273213331*x       - we divide both sides of the equation by (1.2297273213331) to get x
100/1.2297273213331=x
81.31884057971=x
x=81.31884057971

now we have:
280.55 is 81.31884057971% of 345