1.42 is what percent of 1000.51 - 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 1000.51 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 1000.51, so we can write it down as 100%=1000.51.
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%=1000.51
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%=1000.51/1.42
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 1000.51

100%/x%=1000.51/1.42
(100/x)*x=(1000.51/1.42)*x       - we multiply both sides of the equation by x
100=704.58450704225*x       - we divide both sides of the equation by (704.58450704225) to get x
100/704.58450704225=x
0.14192761691537=x
x=0.14192761691537

now we have:
1.42 is 0.14192761691537% of 1000.51