53.02 is what percent of 855.11 - 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 855.11 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 855.11, so we can write it down as 100%=855.11.
4. We know, that x% equals 53.02 of the output value, so we can write it down as x%=53.02.
5. Now we have two simple equations:
1) 100%=855.11
2) x%=53.02
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%=855.11/53.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 53.02 is what percent of 855.11

100%/x%=855.11/53.02
(100/x)*x=(855.11/53.02)*x       - we multiply both sides of the equation by x
100=16.128064881177*x       - we divide both sides of the equation by (16.128064881177) to get x
100/16.128064881177=x
6.2003718819801=x
x=6.2003718819801

now we have:
53.02 is 6.2003718819801% of 855.11