119.99 is what percent of 210.5 - 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 210.5 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 210.5, so we can write it down as 100%=210.5.
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%=210.5
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%=210.5/119.99
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 210.5

100%/x%=210.5/119.99
(100/x)*x=(210.5/119.99)*x       - we multiply both sides of the equation by x
100=1.754312859405*x       - we divide both sides of the equation by (1.754312859405) to get x
100/1.754312859405=x
57.002375296912=x
x=57.002375296912

now we have:
119.99 is 57.002375296912% of 210.5