0.84 is what percent of 0.51 - 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 0.51 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 0.51, so we can write it down as 100%=0.51.
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%=0.51
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%=0.51/0.84
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 0.51

100%/x%=0.51/0.84
(100/x)*x=(0.51/0.84)*x       - we multiply both sides of the equation by x
100=0.60714285714286*x       - we divide both sides of the equation by (0.60714285714286) to get x
100/0.60714285714286=x
164.70588235294=x
x=164.70588235294

now we have:
0.84 is 164.70588235294% of 0.51