796.96 is what percent of 1154.59 - 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 1154.59 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 1154.59, so we can write it down as 100%=1154.59.
4. We know, that x% equals 796.96 of the output value, so we can write it down as x%=796.96.
5. Now we have two simple equations:
1) 100%=1154.59
2) x%=796.96
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%=1154.59/796.96
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 796.96 is what percent of 1154.59

100%/x%=1154.59/796.96
(100/x)*x=(1154.59/796.96)*x       - we multiply both sides of the equation by x
100=1.4487427223449*x       - we divide both sides of the equation by (1.4487427223449) to get x
100/1.4487427223449=x
69.025368312561=x
x=69.025368312561

now we have:
796.96 is 69.025368312561% of 1154.59