836.53 is what percent of 1180 - 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 1180 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 1180, so we can write it down as 100%=1180.
4. We know, that x% equals 836.53 of the output value, so we can write it down as x%=836.53.
5. Now we have two simple equations:
1) 100%=1180
2) x%=836.53
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%=1180/836.53
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 836.53 is what percent of 1180

100%/x%=1180/836.53
(100/x)*x=(1180/836.53)*x       - we multiply both sides of the equation by x
100=1.4105889806701*x       - we divide both sides of the equation by (1.4105889806701) to get x
100/1.4105889806701=x
70.892372881356=x
x=70.892372881356

now we have:
836.53 is 70.892372881356% of 1180