8419.5 is what percent of 13000 - 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 13000 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 13000, so we can write it down as 100%=13000.
4. We know, that x% equals 8419.5 of the output value, so we can write it down as x%=8419.5.
5. Now we have two simple equations:
1) 100%=13000
2) x%=8419.5
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%=13000/8419.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8419.5 is what percent of 13000

100%/x%=13000/8419.5
(100/x)*x=(13000/8419.5)*x       - we multiply both sides of the equation by x
100=1.5440346813944*x       - we divide both sides of the equation by (1.5440346813944) to get x
100/1.5440346813944=x
64.765384615385=x
x=64.765384615385

now we have:
8419.5 is 64.765384615385% of 13000