5.9 is what percent of 872 - 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 872 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 872, so we can write it down as 100%=872.
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%=872
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%=872/5.9
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 872

100%/x%=872/5.9
(100/x)*x=(872/5.9)*x       - we multiply both sides of the equation by x
100=147.79661016949*x       - we divide both sides of the equation by (147.79661016949) to get x
100/147.79661016949=x
0.67660550458716=x
x=0.67660550458716

now we have:
5.9 is 0.67660550458716% of 872