530.29 is what percent of 850.9 - 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 850.9 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 850.9, so we can write it down as 100%=850.9.
4. We know, that x% equals 530.29 of the output value, so we can write it down as x%=530.29.
5. Now we have two simple equations:
1) 100%=850.9
2) x%=530.29
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%=850.9/530.29
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 530.29 is what percent of 850.9

100%/x%=850.9/530.29
(100/x)*x=(850.9/530.29)*x       - we multiply both sides of the equation by x
100=1.6045937128741*x       - we divide both sides of the equation by (1.6045937128741) to get x
100/1.6045937128741=x
62.321071806323=x
x=62.321071806323

now we have:
530.29 is 62.321071806323% of 850.9