41.36 is what percent of 856.06 - 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 856.06 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 856.06, so we can write it down as 100%=856.06.
4. We know, that x% equals 41.36 of the output value, so we can write it down as x%=41.36.
5. Now we have two simple equations:
1) 100%=856.06
2) x%=41.36
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%=856.06/41.36
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 41.36 is what percent of 856.06

100%/x%=856.06/41.36
(100/x)*x=(856.06/41.36)*x       - we multiply both sides of the equation by x
100=20.697775628627*x       - we divide both sides of the equation by (20.697775628627) to get x
100/20.697775628627=x
4.831437048805=x
x=4.831437048805

now we have:
41.36 is 4.831437048805% of 856.06