What is 13.698 percent of 1460 - 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 1460 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 1460 is 100%, so we can write it down as 1460=100%.
4. We know, that x is 13.698% of the output value, so we can write it down as x=13.698%.
5. Now we have two simple equations:
1) 1460=100%
2) x=13.698%
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:
1460/x=100%/13.698%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 13.698% of 1460

1460/x=100/13.698
(1460/x)*x=(100/13.698)*x       - we multiply both sides of the equation by x
1460=7.3003358154475*x       - we divide both sides of the equation by (7.3003358154475) to get x
1460/7.3003358154475=x
199.9908=x
x=199.9908

now we have:
13.698% of 1460=199.9908