234.89 is what percent of 4002.16 - 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 4002.16 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 4002.16, so we can write it down as 100%=4002.16.
4. We know, that x% equals 234.89 of the output value, so we can write it down as x%=234.89.
5. Now we have two simple equations:
1) 100%=4002.16
2) x%=234.89
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%=4002.16/234.89
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 234.89 is what percent of 4002.16

100%/x%=4002.16/234.89
(100/x)*x=(4002.16/234.89)*x       - we multiply both sides of the equation by x
100=17.038443526757*x       - we divide both sides of the equation by (17.038443526757) to get x
100/17.038443526757=x
5.8690806964239=x
x=5.8690806964239

now we have:
234.89 is 5.8690806964239% of 4002.16