802.65 is what percent of 1160 - 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 1160 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 1160, so we can write it down as 100%=1160.
4. We know, that x% equals 802.65 of the output value, so we can write it down as x%=802.65.
5. Now we have two simple equations:
1) 100%=1160
2) x%=802.65
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%=1160/802.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 802.65 is what percent of 1160

100%/x%=1160/802.65
(100/x)*x=(1160/802.65)*x       - we multiply both sides of the equation by x
100=1.4452127328225*x       - we divide both sides of the equation by (1.4452127328225) to get x
100/1.4452127328225=x
69.193965517241=x
x=69.193965517241

now we have:
802.65 is 69.193965517241% of 1160