0.84 is what percent of 38.97 - 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 38.97 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 38.97, so we can write it down as 100%=38.97.
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%=38.97
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%=38.97/0.84
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 38.97

100%/x%=38.97/0.84
(100/x)*x=(38.97/0.84)*x       - we multiply both sides of the equation by x
100=46.392857142857*x       - we divide both sides of the equation by (46.392857142857) to get x
100/46.392857142857=x
2.1555042340262=x
x=2.1555042340262

now we have:
0.84 is 2.1555042340262% of 38.97