10 is what percent of 129.572 - 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 129.572 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 129.572, so we can write it down as 100%=129.572.
4. We know, that x% equals 10 of the output value, so we can write it down as x%=10.
5. Now we have two simple equations:
1) 100%=129.572
2) x%=10
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%=129.572/10
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10 is what percent of 129.572

100%/x%=129.572/10
(100/x)*x=(129.572/10)*x       - we multiply both sides of the equation by x
100=12.9572*x       - we divide both sides of the equation by (12.9572) to get x
100/12.9572=x
7.7177167906646=x
x=7.7177167906646

now we have:
10 is 7.7177167906646% of 129.572