6009.6 is what percent of 60052.51 - 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 60052.51 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 60052.51, so we can write it down as 100%=60052.51.
4. We know, that x% equals 6009.6 of the output value, so we can write it down as x%=6009.6.
5. Now we have two simple equations:
1) 100%=60052.51
2) x%=6009.6
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%=60052.51/6009.6
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 6009.6 is what percent of 60052.51

100%/x%=60052.51/6009.6
(100/x)*x=(60052.51/6009.6)*x       - we multiply both sides of the equation by x
100=9.9927632454739*x       - we divide both sides of the equation by (9.9927632454739) to get x
100/9.9927632454739=x
10.00724199538=x
x=10.00724199538

now we have:
6009.6 is 10.00724199538% of 60052.51