821.5 is what percent of 7420.94 - 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 7420.94 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 7420.94, so we can write it down as 100%=7420.94.
4. We know, that x% equals 821.5 of the output value, so we can write it down as x%=821.5.
5. Now we have two simple equations:
1) 100%=7420.94
2) x%=821.5
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%=7420.94/821.5
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 821.5 is what percent of 7420.94

100%/x%=7420.94/821.5
(100/x)*x=(7420.94/821.5)*x       - we multiply both sides of the equation by x
100=9.0334023128424*x       - we divide both sides of the equation by (9.0334023128424) to get x
100/9.0334023128424=x
11.070026169192=x
x=11.070026169192

now we have:
821.5 is 11.070026169192% of 7420.94