211.12 is what percent of 360.13 - 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 360.13 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 360.13, so we can write it down as 100%=360.13.
4. We know, that x% equals 211.12 of the output value, so we can write it down as x%=211.12.
5. Now we have two simple equations:
1) 100%=360.13
2) x%=211.12
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%=360.13/211.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 211.12 is what percent of 360.13

100%/x%=360.13/211.12
(100/x)*x=(360.13/211.12)*x       - we multiply both sides of the equation by x
100=1.7058071239106*x       - we divide both sides of the equation by (1.7058071239106) to get x
100/1.7058071239106=x
58.623274928498=x
x=58.623274928498

now we have:
211.12 is 58.623274928498% of 360.13