13.87 is what percent of 17.34 - 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 17.34 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 17.34, so we can write it down as 100%=17.34.
4. We know, that x% equals 13.87 of the output value, so we can write it down as x%=13.87.
5. Now we have two simple equations:
1) 100%=17.34
2) x%=13.87
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%=17.34/13.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 13.87 is what percent of 17.34

100%/x%=17.34/13.87
(100/x)*x=(17.34/13.87)*x       - we multiply both sides of the equation by x
100=1.2501802451334*x       - we divide both sides of the equation by (1.2501802451334) to get x
100/1.2501802451334=x
79.988465974625=x
x=79.988465974625

now we have:
13.87 is 79.988465974625% of 17.34