0.84 is what percent of 4.99 - 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 4.99 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 4.99, so we can write it down as 100%=4.99.
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%=4.99
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%=4.99/0.84
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 4.99

100%/x%=4.99/0.84
(100/x)*x=(4.99/0.84)*x       - we multiply both sides of the equation by x
100=5.9404761904762*x       - we divide both sides of the equation by (5.9404761904762) to get x
100/5.9404761904762=x
16.833667334669=x
x=16.833667334669

now we have:
0.84 is 16.833667334669% of 4.99