1145.35 is what percent of 1246.25 - 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 1246.25 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 1246.25, so we can write it down as 100%=1246.25.
4. We know, that x% equals 1145.35 of the output value, so we can write it down as x%=1145.35.
5. Now we have two simple equations:
1) 100%=1246.25
2) x%=1145.35
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%=1246.25/1145.35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1145.35 is what percent of 1246.25

100%/x%=1246.25/1145.35
(100/x)*x=(1246.25/1145.35)*x       - we multiply both sides of the equation by x
100=1.0880953420352*x       - we divide both sides of the equation by (1.0880953420352) to get x
100/1.0880953420352=x
91.9037111334=x
x=91.9037111334

now we have:
1145.35 is 91.9037111334% of 1246.25