5.59 is what percent of 70.59 - 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 70.59 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 70.59, so we can write it down as 100%=70.59.
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%=70.59
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%=70.59/5.59
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 70.59

100%/x%=70.59/5.59
(100/x)*x=(70.59/5.59)*x       - we multiply both sides of the equation by x
100=12.627906976744*x       - we divide both sides of the equation by (12.627906976744) to get x
100/12.627906976744=x
7.9189686924494=x
x=7.9189686924494

now we have:
5.59 is 7.9189686924494% of 70.59