211.99 is what percent of 1140.15 - 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 1140.15 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 1140.15, so we can write it down as 100%=1140.15.
4. We know, that x% equals 211.99 of the output value, so we can write it down as x%=211.99.
5. Now we have two simple equations:
1) 100%=1140.15
2) x%=211.99
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%=1140.15/211.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 211.99 is what percent of 1140.15

100%/x%=1140.15/211.99
(100/x)*x=(1140.15/211.99)*x       - we multiply both sides of the equation by x
100=5.3783197320628*x       - we divide both sides of the equation by (5.3783197320628) to get x
100/5.3783197320628=x
18.593167565671=x
x=18.593167565671

now we have:
211.99 is 18.593167565671% of 1140.15