118.46 is what percent of 590.73 - 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 590.73 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 590.73, so we can write it down as 100%=590.73.
4. We know, that x% equals 118.46 of the output value, so we can write it down as x%=118.46.
5. Now we have two simple equations:
1) 100%=590.73
2) x%=118.46
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%=590.73/118.46
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 118.46 is what percent of 590.73

100%/x%=590.73/118.46
(100/x)*x=(590.73/118.46)*x       - we multiply both sides of the equation by x
100=4.9867465811244*x       - we divide both sides of the equation by (4.9867465811244) to get x
100/4.9867465811244=x
20.053154571462=x
x=20.053154571462

now we have:
118.46 is 20.053154571462% of 590.73