468.75 is what percent of 13513 - 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 13513 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 13513, so we can write it down as 100%=13513.
4. We know, that x% equals 468.75 of the output value, so we can write it down as x%=468.75.
5. Now we have two simple equations:
1) 100%=13513
2) x%=468.75
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%=13513/468.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 468.75 is what percent of 13513

100%/x%=13513/468.75
(100/x)*x=(13513/468.75)*x       - we multiply both sides of the equation by x
100=28.827733333333*x       - we divide both sides of the equation by (28.827733333333) to get x
100/28.827733333333=x
3.4688818175091=x
x=3.4688818175091

now we have:
468.75 is 3.4688818175091% of 13513