730.64 is what percent of 1052.74 - 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 1052.74 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 1052.74, so we can write it down as 100%=1052.74.
4. We know, that x% equals 730.64 of the output value, so we can write it down as x%=730.64.
5. Now we have two simple equations:
1) 100%=1052.74
2) x%=730.64
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%=1052.74/730.64
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 730.64 is what percent of 1052.74

100%/x%=1052.74/730.64
(100/x)*x=(1052.74/730.64)*x       - we multiply both sides of the equation by x
100=1.4408463812548*x       - we divide both sides of the equation by (1.4408463812548) to get x
100/1.4408463812548=x
69.403651423903=x
x=69.403651423903

now we have:
730.64 is 69.403651423903% of 1052.74