45.83 is what percent of 210.52 - 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 210.52 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 210.52, so we can write it down as 100%=210.52.
4. We know, that x% equals 45.83 of the output value, so we can write it down as x%=45.83.
5. Now we have two simple equations:
1) 100%=210.52
2) x%=45.83
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%=210.52/45.83
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.83 is what percent of 210.52

100%/x%=210.52/45.83
(100/x)*x=(210.52/45.83)*x       - we multiply both sides of the equation by x
100=4.5934977089243*x       - we divide both sides of the equation by (4.5934977089243) to get x
100/4.5934977089243=x
21.769903097093=x
x=21.769903097093

now we have:
45.83 is 21.769903097093% of 210.52