17.01 is what percent of 138.41 - 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 138.41 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 138.41, so we can write it down as 100%=138.41.
4. We know, that x% equals 17.01 of the output value, so we can write it down as x%=17.01.
5. Now we have two simple equations:
1) 100%=138.41
2) x%=17.01
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%=138.41/17.01
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 17.01 is what percent of 138.41

100%/x%=138.41/17.01
(100/x)*x=(138.41/17.01)*x       - we multiply both sides of the equation by x
100=8.1369782480894*x       - we divide both sides of the equation by (8.1369782480894) to get x
100/8.1369782480894=x
12.289574452713=x
x=12.289574452713

now we have:
17.01 is 12.289574452713% of 138.41