587.18 is what percent of 862.69 - 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 862.69 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 862.69, so we can write it down as 100%=862.69.
4. We know, that x% equals 587.18 of the output value, so we can write it down as x%=587.18.
5. Now we have two simple equations:
1) 100%=862.69
2) x%=587.18
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%=862.69/587.18
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 587.18 is what percent of 862.69

100%/x%=862.69/587.18
(100/x)*x=(862.69/587.18)*x       - we multiply both sides of the equation by x
100=1.4692087605164*x       - we divide both sides of the equation by (1.4692087605164) to get x
100/1.4692087605164=x
68.063846804762=x
x=68.063846804762

now we have:
587.18 is 68.063846804762% of 862.69