402.12 is what percent of 50.27 - 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 50.27 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 50.27, so we can write it down as 100%=50.27.
4. We know, that x% equals 402.12 of the output value, so we can write it down as x%=402.12.
5. Now we have two simple equations:
1) 100%=50.27
2) x%=402.12
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%=50.27/402.12
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 402.12 is what percent of 50.27

100%/x%=50.27/402.12
(100/x)*x=(50.27/402.12)*x       - we multiply both sides of the equation by x
100=0.12501243409927*x       - we divide both sides of the equation by (0.12501243409927) to get x
100/0.12501243409927=x
799.92042967973=x
x=799.92042967973

now we have:
402.12 is 799.92042967973% of 50.27