5.9 is what percent of 10.98 - 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 10.98 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 10.98, so we can write it down as 100%=10.98.
4. We know, that x% equals 5.9 of the output value, so we can write it down as x%=5.9.
5. Now we have two simple equations:
1) 100%=10.98
2) x%=5.9
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%=10.98/5.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 5.9 is what percent of 10.98

100%/x%=10.98/5.9
(100/x)*x=(10.98/5.9)*x       - we multiply both sides of the equation by x
100=1.8610169491525*x       - we divide both sides of the equation by (1.8610169491525) to get x
100/1.8610169491525=x
53.734061930783=x
x=53.734061930783

now we have:
5.9 is 53.734061930783% of 10.98