83.7 is what percent of 877.65 - 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 877.65 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 877.65, so we can write it down as 100%=877.65.
4. We know, that x% equals 83.7 of the output value, so we can write it down as x%=83.7.
5. Now we have two simple equations:
1) 100%=877.65
2) x%=83.7
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%=877.65/83.7
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 83.7 is what percent of 877.65

100%/x%=877.65/83.7
(100/x)*x=(877.65/83.7)*x       - we multiply both sides of the equation by x
100=10.485663082437*x       - we divide both sides of the equation by (10.485663082437) to get x
100/10.485663082437=x
9.536831310887=x
x=9.536831310887

now we have:
83.7 is 9.536831310887% of 877.65