142.84 is what percent of 589.21 - 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 589.21 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 589.21, so we can write it down as 100%=589.21.
4. We know, that x% equals 142.84 of the output value, so we can write it down as x%=142.84.
5. Now we have two simple equations:
1) 100%=589.21
2) x%=142.84
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%=589.21/142.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 142.84 is what percent of 589.21

100%/x%=589.21/142.84
(100/x)*x=(589.21/142.84)*x       - we multiply both sides of the equation by x
100=4.1249649957995*x       - we divide both sides of the equation by (4.1249649957995) to get x
100/4.1249649957995=x
24.242629962153=x
x=24.242629962153

now we have:
142.84 is 24.242629962153% of 589.21