211.7 is what percent of 850.58 - 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 850.58 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 850.58, so we can write it down as 100%=850.58.
4. We know, that x% equals 211.7 of the output value, so we can write it down as x%=211.7.
5. Now we have two simple equations:
1) 100%=850.58
2) x%=211.7
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%=850.58/211.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 211.7 is what percent of 850.58

100%/x%=850.58/211.7
(100/x)*x=(850.58/211.7)*x       - we multiply both sides of the equation by x
100=4.0178554558337*x       - we divide both sides of the equation by (4.0178554558337) to get x
100/4.0178554558337=x
24.888899339274=x
x=24.888899339274

now we have:
211.7 is 24.888899339274% of 850.58