119.99 is what percent of 211.25 - 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 211.25 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 211.25, so we can write it down as 100%=211.25.
4. We know, that x% equals 119.99 of the output value, so we can write it down as x%=119.99.
5. Now we have two simple equations:
1) 100%=211.25
2) x%=119.99
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%=211.25/119.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 119.99 is what percent of 211.25

100%/x%=211.25/119.99
(100/x)*x=(211.25/119.99)*x       - we multiply both sides of the equation by x
100=1.7605633802817*x       - we divide both sides of the equation by (1.7605633802817) to get x
100/1.7605633802817=x
56.8=x
x=56.8

now we have:
119.99 is 56.8% of 211.25