288.75 is what percent of 346.4 - 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 346.4 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 346.4, so we can write it down as 100%=346.4.
4. We know, that x% equals 288.75 of the output value, so we can write it down as x%=288.75.
5. Now we have two simple equations:
1) 100%=346.4
2) x%=288.75
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%=346.4/288.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 288.75 is what percent of 346.4

100%/x%=346.4/288.75
(100/x)*x=(346.4/288.75)*x       - we multiply both sides of the equation by x
100=1.1996536796537*x       - we divide both sides of the equation by (1.1996536796537) to get x
100/1.1996536796537=x
83.357390300231=x
x=83.357390300231

now we have:
288.75 is 83.357390300231% of 346.4