84 is what percent of 54900 - 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 54900 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 54900, so we can write it down as 100%=54900.
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%=54900
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%=54900/84
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 54900

100%/x%=54900/84
(100/x)*x=(54900/84)*x       - we multiply both sides of the equation by x
100=653.57142857143*x       - we divide both sides of the equation by (653.57142857143) to get x
100/653.57142857143=x
0.15300546448087=x
x=0.15300546448087

now we have:
84 is 0.15300546448087% of 54900