1.42 is what percent of 35.98 - 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 35.98 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 35.98, so we can write it down as 100%=35.98.
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%=35.98
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%=35.98/1.42
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 35.98

100%/x%=35.98/1.42
(100/x)*x=(35.98/1.42)*x       - we multiply both sides of the equation by x
100=25.338028169014*x       - we divide both sides of the equation by (25.338028169014) to get x
100/25.338028169014=x
3.946637020567=x
x=3.946637020567

now we have:
1.42 is 3.946637020567% of 35.98