590.87 is what percent of 1148.59 - 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 1148.59 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 1148.59, so we can write it down as 100%=1148.59.
4. We know, that x% equals 590.87 of the output value, so we can write it down as x%=590.87.
5. Now we have two simple equations:
1) 100%=1148.59
2) x%=590.87
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%=1148.59/590.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 590.87 is what percent of 1148.59

100%/x%=1148.59/590.87
(100/x)*x=(1148.59/590.87)*x       - we multiply both sides of the equation by x
100=1.9438962885237*x       - we divide both sides of the equation by (1.9438962885237) to get x
100/1.9438962885237=x
51.443073681644=x
x=51.443073681644

now we have:
590.87 is 51.443073681644% of 1148.59