1.52 is what percent of 4.85 - 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 4.85 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 4.85, so we can write it down as 100%=4.85.
4. We know, that x% equals 1.52 of the output value, so we can write it down as x%=1.52.
5. Now we have two simple equations:
1) 100%=4.85
2) x%=1.52
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%=4.85/1.52
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.52 is what percent of 4.85

100%/x%=4.85/1.52
(100/x)*x=(4.85/1.52)*x       - we multiply both sides of the equation by x
100=3.1907894736842*x       - we divide both sides of the equation by (3.1907894736842) to get x
100/3.1907894736842=x
31.340206185567=x
x=31.340206185567

now we have:
1.52 is 31.340206185567% of 4.85