1.55 is what percent of 24.01 - 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 24.01 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 24.01, so we can write it down as 100%=24.01.
4. We know, that x% equals 1.55 of the output value, so we can write it down as x%=1.55.
5. Now we have two simple equations:
1) 100%=24.01
2) x%=1.55
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%=24.01/1.55
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.55 is what percent of 24.01

100%/x%=24.01/1.55
(100/x)*x=(24.01/1.55)*x       - we multiply both sides of the equation by x
100=15.490322580645*x       - we divide both sides of the equation by (15.490322580645) to get x
100/15.490322580645=x
6.4556434818825=x
x=6.4556434818825

now we have:
1.55 is 6.4556434818825% of 24.01