52662.62 is what percent of 426920.04 - 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 426920.04 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 426920.04, so we can write it down as 100%=426920.04.
4. We know, that x% equals 52662.62 of the output value, so we can write it down as x%=52662.62.
5. Now we have two simple equations:
1) 100%=426920.04
2) x%=52662.62
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%=426920.04/52662.62
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 52662.62 is what percent of 426920.04

100%/x%=426920.04/52662.62
(100/x)*x=(426920.04/52662.62)*x       - we multiply both sides of the equation by x
100=8.1066995907154*x       - we divide both sides of the equation by (8.1066995907154) to get x
100/8.1066995907154=x
12.335476217045=x
x=12.335476217045

now we have:
52662.62 is 12.335476217045% of 426920.04