142.02 is what percent of 696.5 - 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 696.5 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 696.5, so we can write it down as 100%=696.5.
4. We know, that x% equals 142.02 of the output value, so we can write it down as x%=142.02.
5. Now we have two simple equations:
1) 100%=696.5
2) x%=142.02
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%=696.5/142.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 142.02 is what percent of 696.5

100%/x%=696.5/142.02
(100/x)*x=(696.5/142.02)*x       - we multiply both sides of the equation by x
100=4.9042388396001*x       - we divide both sides of the equation by (4.9042388396001) to get x
100/4.9042388396001=x
20.390524048816=x
x=20.390524048816

now we have:
142.02 is 20.390524048816% of 696.5