17 is what percent of 1378 - 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 1378 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 1378, so we can write it down as 100%=1378.
4. We know, that x% equals 17 of the output value, so we can write it down as x%=17.
5. Now we have two simple equations:
1) 100%=1378
2) x%=17
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%=1378/17
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17 is what percent of 1378

100%/x%=1378/17
(100/x)*x=(1378/17)*x       - we multiply both sides of the equation by x
100=81.058823529412*x       - we divide both sides of the equation by (81.058823529412) to get x
100/81.058823529412=x
1.233671988389=x
x=1.233671988389

now we have:
17 is 1.233671988389% of 1378