85.84 is what percent of 427.38 - 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 427.38 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 427.38, so we can write it down as 100%=427.38.
4. We know, that x% equals 85.84 of the output value, so we can write it down as x%=85.84.
5. Now we have two simple equations:
1) 100%=427.38
2) x%=85.84
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%=427.38/85.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 85.84 is what percent of 427.38

100%/x%=427.38/85.84
(100/x)*x=(427.38/85.84)*x       - we multiply both sides of the equation by x
100=4.9787977632805*x       - we divide both sides of the equation by (4.9787977632805) to get x
100/4.9787977632805=x
20.085170106229=x
x=20.085170106229

now we have:
85.84 is 20.085170106229% of 427.38