259.01 is what percent of 492.59 - 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 492.59 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 492.59, so we can write it down as 100%=492.59.
4. We know, that x% equals 259.01 of the output value, so we can write it down as x%=259.01.
5. Now we have two simple equations:
1) 100%=492.59
2) x%=259.01
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%=492.59/259.01
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 259.01 is what percent of 492.59

100%/x%=492.59/259.01
(100/x)*x=(492.59/259.01)*x       - we multiply both sides of the equation by x
100=1.9018184626076*x       - we divide both sides of the equation by (1.9018184626076) to get x
100/1.9018184626076=x
52.581254187052=x
x=52.581254187052

now we have:
259.01 is 52.581254187052% of 492.59