13 is what percent of 7350 - 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 7350 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 7350, so we can write it down as 100%=7350.
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%=7350
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%=7350/13
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 7350

100%/x%=7350/13
(100/x)*x=(7350/13)*x       - we multiply both sides of the equation by x
100=565.38461538462*x       - we divide both sides of the equation by (565.38461538462) to get x
100/565.38461538462=x
0.17687074829932=x
x=0.17687074829932

now we have:
13 is 0.17687074829932% of 7350