1.49 is what percent of 34.23 - 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 34.23 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 34.23, so we can write it down as 100%=34.23.
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%=34.23
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%=34.23/1.49
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 34.23

100%/x%=34.23/1.49
(100/x)*x=(34.23/1.49)*x       - we multiply both sides of the equation by x
100=22.973154362416*x       - we divide both sides of the equation by (22.973154362416) to get x
100/22.973154362416=x
4.3529068068945=x
x=4.3529068068945

now we have:
1.49 is 4.3529068068945% of 34.23