79.21 is what percent of 837.67 - 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 837.67 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 837.67, so we can write it down as 100%=837.67.
4. We know, that x% equals 79.21 of the output value, so we can write it down as x%=79.21.
5. Now we have two simple equations:
1) 100%=837.67
2) x%=79.21
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%=837.67/79.21
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 79.21 is what percent of 837.67

100%/x%=837.67/79.21
(100/x)*x=(837.67/79.21)*x       - we multiply both sides of the equation by x
100=10.575306148214*x       - we divide both sides of the equation by (10.575306148214) to get x
100/10.575306148214=x
9.4559910227178=x
x=9.4559910227178

now we have:
79.21 is 9.4559910227178% of 837.67