142.63 is what percent of 800 - 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 800 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 800, so we can write it down as 100%=800.
4. We know, that x% equals 142.63 of the output value, so we can write it down as x%=142.63.
5. Now we have two simple equations:
1) 100%=800
2) x%=142.63
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%=800/142.63
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 142.63 is what percent of 800

100%/x%=800/142.63
(100/x)*x=(800/142.63)*x       - we multiply both sides of the equation by x
100=5.6089181799061*x       - we divide both sides of the equation by (5.6089181799061) to get x
100/5.6089181799061=x
17.82875=x
x=17.82875

now we have:
142.63 is 17.82875% of 800