1.42 is what percent of 0.33 - 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 0.33 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 0.33, so we can write it down as 100%=0.33.
4. We know, that x% equals 1.42 of the output value, so we can write it down as x%=1.42.
5. Now we have two simple equations:
1) 100%=0.33
2) x%=1.42
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%=0.33/1.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1.42 is what percent of 0.33

100%/x%=0.33/1.42
(100/x)*x=(0.33/1.42)*x       - we multiply both sides of the equation by x
100=0.23239436619718*x       - we divide both sides of the equation by (0.23239436619718) to get x
100/0.23239436619718=x
430.30303030303=x
x=430.30303030303

now we have:
1.42 is 430.30303030303% of 0.33