5.59 is what percent of 101.62 - 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 101.62 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 101.62, so we can write it down as 100%=101.62.
4. We know, that x% equals 5.59 of the output value, so we can write it down as x%=5.59.
5. Now we have two simple equations:
1) 100%=101.62
2) x%=5.59
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%=101.62/5.59
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.59 is what percent of 101.62

100%/x%=101.62/5.59
(100/x)*x=(101.62/5.59)*x       - we multiply both sides of the equation by x
100=18.178890876565*x       - we divide both sides of the equation by (18.178890876565) to get x
100/18.178890876565=x
5.5008856524306=x
x=5.5008856524306

now we have:
5.59 is 5.5008856524306% of 101.62