269.63 is what percent of 588.63 - 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 588.63 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 588.63, so we can write it down as 100%=588.63.
4. We know, that x% equals 269.63 of the output value, so we can write it down as x%=269.63.
5. Now we have two simple equations:
1) 100%=588.63
2) x%=269.63
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%=588.63/269.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 269.63 is what percent of 588.63

100%/x%=588.63/269.63
(100/x)*x=(588.63/269.63)*x       - we multiply both sides of the equation by x
100=2.1831027704632*x       - we divide both sides of the equation by (2.1831027704632) to get x
100/2.1831027704632=x
45.806363929803=x
x=45.806363929803

now we have:
269.63 is 45.806363929803% of 588.63