3.54 is what percent of 3.59 - 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 3.59 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 3.59, so we can write it down as 100%=3.59.
4. We know, that x% equals 3.54 of the output value, so we can write it down as x%=3.54.
5. Now we have two simple equations:
1) 100%=3.59
2) x%=3.54
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%=3.59/3.54
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 3.54 is what percent of 3.59

100%/x%=3.59/3.54
(100/x)*x=(3.59/3.54)*x       - we multiply both sides of the equation by x
100=1.0141242937853*x       - we divide both sides of the equation by (1.0141242937853) to get x
100/1.0141242937853=x
98.607242339833=x
x=98.607242339833

now we have:
3.54 is 98.607242339833% of 3.59