1123.84 is what percent of 3210.98 - 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 3210.98 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 3210.98, so we can write it down as 100%=3210.98.
4. We know, that x% equals 1123.84 of the output value, so we can write it down as x%=1123.84.
5. Now we have two simple equations:
1) 100%=3210.98
2) x%=1123.84
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%=3210.98/1123.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1123.84 is what percent of 3210.98

100%/x%=3210.98/1123.84
(100/x)*x=(3210.98/1123.84)*x       - we multiply both sides of the equation by x
100=2.8571504840547*x       - we divide both sides of the equation by (2.8571504840547) to get x
100/2.8571504840547=x
34.99990657058=x
x=34.99990657058

now we have:
1123.84 is 34.99990657058% of 3210.98