421.16 is what percent of 4242.83 - 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 4242.83 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 4242.83, so we can write it down as 100%=4242.83.
4. We know, that x% equals 421.16 of the output value, so we can write it down as x%=421.16.
5. Now we have two simple equations:
1) 100%=4242.83
2) x%=421.16
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%=4242.83/421.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 421.16 is what percent of 4242.83

100%/x%=4242.83/421.16
(100/x)*x=(4242.83/421.16)*x       - we multiply both sides of the equation by x
100=10.074152341153*x       - we divide both sides of the equation by (10.074152341153) to get x
100/10.074152341153=x
9.9263934685104=x
x=9.9263934685104

now we have:
421.16 is 9.9263934685104% of 4242.83