13 is what percent of 7570 - 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 7570 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 7570, so we can write it down as 100%=7570.
4. We know, that x% equals 13 of the output value, so we can write it down as x%=13.
5. Now we have two simple equations:
1) 100%=7570
2) x%=13
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%=7570/13
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13 is what percent of 7570

100%/x%=7570/13
(100/x)*x=(7570/13)*x       - we multiply both sides of the equation by x
100=582.30769230769*x       - we divide both sides of the equation by (582.30769230769) to get x
100/582.30769230769=x
0.17173051519155=x
x=0.17173051519155

now we have:
13 is 0.17173051519155% of 7570