45 is what percent of 13510 - 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 13510 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 13510, so we can write it down as 100%=13510.
4. We know, that x% equals 45 of the output value, so we can write it down as x%=45.
5. Now we have two simple equations:
1) 100%=13510
2) x%=45
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%=13510/45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45 is what percent of 13510

100%/x%=13510/45
(100/x)*x=(13510/45)*x       - we multiply both sides of the equation by x
100=300.22222222222*x       - we divide both sides of the equation by (300.22222222222) to get x
100/300.22222222222=x
0.33308660251665=x
x=0.33308660251665

now we have:
45 is 0.33308660251665% of 13510