211.25 is what percent of 359.25 - 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 359.25 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 359.25, so we can write it down as 100%=359.25.
4. We know, that x% equals 211.25 of the output value, so we can write it down as x%=211.25.
5. Now we have two simple equations:
1) 100%=359.25
2) x%=211.25
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%=359.25/211.25
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 211.25 is what percent of 359.25

100%/x%=359.25/211.25
(100/x)*x=(359.25/211.25)*x       - we multiply both sides of the equation by x
100=1.7005917159763*x       - we divide both sides of the equation by (1.7005917159763) to get x
100/1.7005917159763=x
58.803061934586=x
x=58.803061934586

now we have:
211.25 is 58.803061934586% of 359.25