883.4 is what percent of 4123.4 - 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 4123.4 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 4123.4, so we can write it down as 100%=4123.4.
4. We know, that x% equals 883.4 of the output value, so we can write it down as x%=883.4.
5. Now we have two simple equations:
1) 100%=4123.4
2) x%=883.4
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%=4123.4/883.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 883.4 is what percent of 4123.4

100%/x%=4123.4/883.4
(100/x)*x=(4123.4/883.4)*x       - we multiply both sides of the equation by x
100=4.6676477247*x       - we divide both sides of the equation by (4.6676477247) to get x
100/4.6676477247=x
21.424067517098=x
x=21.424067517098

now we have:
883.4 is 21.424067517098% of 4123.4