239.87 is what percent of 1152.21 - 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 1152.21 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 1152.21, so we can write it down as 100%=1152.21.
4. We know, that x% equals 239.87 of the output value, so we can write it down as x%=239.87.
5. Now we have two simple equations:
1) 100%=1152.21
2) x%=239.87
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%=1152.21/239.87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 239.87 is what percent of 1152.21

100%/x%=1152.21/239.87
(100/x)*x=(1152.21/239.87)*x       - we multiply both sides of the equation by x
100=4.8034768833118*x       - we divide both sides of the equation by (4.8034768833118) to get x
100/4.8034768833118=x
20.818253616962=x
x=20.818253616962

now we have:
239.87 is 20.818253616962% of 1152.21