1.49 is what percent of 17.05 - 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 17.05 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 17.05, so we can write it down as 100%=17.05.
4. We know, that x% equals 1.49 of the output value, so we can write it down as x%=1.49.
5. Now we have two simple equations:
1) 100%=17.05
2) x%=1.49
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%=17.05/1.49
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.49 is what percent of 17.05

100%/x%=17.05/1.49
(100/x)*x=(17.05/1.49)*x       - we multiply both sides of the equation by x
100=11.442953020134*x       - we divide both sides of the equation by (11.442953020134) to get x
100/11.442953020134=x
8.7390029325513=x
x=8.7390029325513

now we have:
1.49 is 8.7390029325513% of 17.05