1125.75 is what percent of 1355.62 - 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 1355.62 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 1355.62, so we can write it down as 100%=1355.62.
4. We know, that x% equals 1125.75 of the output value, so we can write it down as x%=1125.75.
5. Now we have two simple equations:
1) 100%=1355.62
2) x%=1125.75
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%=1355.62/1125.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1125.75 is what percent of 1355.62

100%/x%=1355.62/1125.75
(100/x)*x=(1355.62/1125.75)*x       - we multiply both sides of the equation by x
100=1.204192760382*x       - we divide both sides of the equation by (1.204192760382) to get x
100/1.204192760382=x
83.04318319293=x
x=83.04318319293

now we have:
1125.75 is 83.04318319293% of 1355.62