85.07 is what percent of 420.3 - 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 420.3 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 420.3, so we can write it down as 100%=420.3.
4. We know, that x% equals 85.07 of the output value, so we can write it down as x%=85.07.
5. Now we have two simple equations:
1) 100%=420.3
2) x%=85.07
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%=420.3/85.07
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 85.07 is what percent of 420.3

100%/x%=420.3/85.07
(100/x)*x=(420.3/85.07)*x       - we multiply both sides of the equation by x
100=4.9406371223698*x       - we divide both sides of the equation by (4.9406371223698) to get x
100/4.9406371223698=x
20.240304544373=x
x=20.240304544373

now we have:
85.07 is 20.240304544373% of 420.3