0.84 is what percent of 61.2 - 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 61.2 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 61.2, so we can write it down as 100%=61.2.
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%=61.2
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%=61.2/0.84
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 61.2

100%/x%=61.2/0.84
(100/x)*x=(61.2/0.84)*x       - we multiply both sides of the equation by x
100=72.857142857143*x       - we divide both sides of the equation by (72.857142857143) to get x
100/72.857142857143=x
1.3725490196078=x
x=1.3725490196078

now we have:
0.84 is 1.3725490196078% of 61.2