426.05 is what percent of 2120 - 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 2120 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 2120, so we can write it down as 100%=2120.
4. We know, that x% equals 426.05 of the output value, so we can write it down as x%=426.05.
5. Now we have two simple equations:
1) 100%=2120
2) x%=426.05
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%=2120/426.05
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 426.05 is what percent of 2120

100%/x%=2120/426.05
(100/x)*x=(2120/426.05)*x       - we multiply both sides of the equation by x
100=4.9759417908696*x       - we divide both sides of the equation by (4.9759417908696) to get x
100/4.9759417908696=x
20.096698113208=x
x=20.096698113208

now we have:
426.05 is 20.096698113208% of 2120