1.42 is what percent of 17.58 - 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 17.58 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 17.58, so we can write it down as 100%=17.58.
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%=17.58
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%=17.58/1.42
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 17.58

100%/x%=17.58/1.42
(100/x)*x=(17.58/1.42)*x       - we multiply both sides of the equation by x
100=12.380281690141*x       - we divide both sides of the equation by (12.380281690141) to get x
100/12.380281690141=x
8.0773606370876=x
x=8.0773606370876

now we have:
1.42 is 8.0773606370876% of 17.58