741.39 is what percent of 1085.45 - 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 1085.45 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 1085.45, so we can write it down as 100%=1085.45.
4. We know, that x% equals 741.39 of the output value, so we can write it down as x%=741.39.
5. Now we have two simple equations:
1) 100%=1085.45
2) x%=741.39
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%=1085.45/741.39
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 741.39 is what percent of 1085.45

100%/x%=1085.45/741.39
(100/x)*x=(1085.45/741.39)*x       - we multiply both sides of the equation by x
100=1.4640742389296*x       - we divide both sides of the equation by (1.4640742389296) to get x
100/1.4640742389296=x
68.3025473306=x
x=68.3025473306

now we have:
741.39 is 68.3025473306% of 1085.45