8.21 is what percent of 77.55 - 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 77.55 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 77.55, so we can write it down as 100%=77.55.
4. We know, that x% equals 8.21 of the output value, so we can write it down as x%=8.21.
5. Now we have two simple equations:
1) 100%=77.55
2) x%=8.21
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%=77.55/8.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 8.21 is what percent of 77.55

100%/x%=77.55/8.21
(100/x)*x=(77.55/8.21)*x       - we multiply both sides of the equation by x
100=9.4457978075518*x       - we divide both sides of the equation by (9.4457978075518) to get x
100/9.4457978075518=x
10.586718246293=x
x=10.586718246293

now we have:
8.21 is 10.586718246293% of 77.55