142.75 is what percent of 803.6 - 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 803.6 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 803.6, so we can write it down as 100%=803.6.
4. We know, that x% equals 142.75 of the output value, so we can write it down as x%=142.75.
5. Now we have two simple equations:
1) 100%=803.6
2) x%=142.75
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%=803.6/142.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 142.75 is what percent of 803.6

100%/x%=803.6/142.75
(100/x)*x=(803.6/142.75)*x       - we multiply both sides of the equation by x
100=5.6294220665499*x       - we divide both sides of the equation by (5.6294220665499) to get x
100/5.6294220665499=x
17.76381284221=x
x=17.76381284221

now we have:
142.75 is 17.76381284221% of 803.6