0.84 is what percent of 38.1 - 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 38.1 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 38.1, so we can write it down as 100%=38.1.
4. We know, that x% equals 0.84 of the output value, so we can write it down as x%=0.84.
5. Now we have two simple equations:
1) 100%=38.1
2) x%=0.84
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%=38.1/0.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 0.84 is what percent of 38.1

100%/x%=38.1/0.84
(100/x)*x=(38.1/0.84)*x       - we multiply both sides of the equation by x
100=45.357142857143*x       - we divide both sides of the equation by (45.357142857143) to get x
100/45.357142857143=x
2.2047244094488=x
x=2.2047244094488

now we have:
0.84 is 2.2047244094488% of 38.1