42.99 is what percent of 52.8 - 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 52.8 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 52.8, so we can write it down as 100%=52.8.
4. We know, that x% equals 42.99 of the output value, so we can write it down as x%=42.99.
5. Now we have two simple equations:
1) 100%=52.8
2) x%=42.99
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%=52.8/42.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 42.99 is what percent of 52.8

100%/x%=52.8/42.99
(100/x)*x=(52.8/42.99)*x       - we multiply both sides of the equation by x
100=1.2281926029309*x       - we divide both sides of the equation by (1.2281926029309) to get x
100/1.2281926029309=x
81.420454545455=x
x=81.420454545455

now we have:
42.99 is 81.420454545455% of 52.8