5.9 is what percent of 45.9 - 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 45.9 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 45.9, so we can write it down as 100%=45.9.
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%=45.9
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%=45.9/5.9
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 45.9

100%/x%=45.9/5.9
(100/x)*x=(45.9/5.9)*x       - we multiply both sides of the equation by x
100=7.7796610169492*x       - we divide both sides of the equation by (7.7796610169492) to get x
100/7.7796610169492=x
12.854030501089=x
x=12.854030501089

now we have:
5.9 is 12.854030501089% of 45.9