84 is what percent of 8100 - 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 8100 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 8100, so we can write it down as 100%=8100.
4. We know, that x% equals 84 of the output value, so we can write it down as x%=84.
5. Now we have two simple equations:
1) 100%=8100
2) x%=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%=8100/84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 84 is what percent of 8100

100%/x%=8100/84
(100/x)*x=(8100/84)*x       - we multiply both sides of the equation by x
100=96.428571428571*x       - we divide both sides of the equation by (96.428571428571) to get x
100/96.428571428571=x
1.037037037037=x
x=1.037037037037

now we have:
84 is 1.037037037037% of 8100