586.45 is what percent of 760 - 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 760 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 760, so we can write it down as 100%=760.
4. We know, that x% equals 586.45 of the output value, so we can write it down as x%=586.45.
5. Now we have two simple equations:
1) 100%=760
2) x%=586.45
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%=760/586.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 586.45 is what percent of 760

100%/x%=760/586.45
(100/x)*x=(760/586.45)*x       - we multiply both sides of the equation by x
100=1.2959331571319*x       - we divide both sides of the equation by (1.2959331571319) to get x
100/1.2959331571319=x
77.164473684211=x
x=77.164473684211

now we have:
586.45 is 77.164473684211% of 760