873.65 is what percent of 967.07 - 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 967.07 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 967.07, so we can write it down as 100%=967.07.
4. We know, that x% equals 873.65 of the output value, so we can write it down as x%=873.65.
5. Now we have two simple equations:
1) 100%=967.07
2) x%=873.65
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%=967.07/873.65
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 873.65 is what percent of 967.07

100%/x%=967.07/873.65
(100/x)*x=(967.07/873.65)*x       - we multiply both sides of the equation by x
100=1.1069306930693*x       - we divide both sides of the equation by (1.1069306930693) to get x
100/1.1069306930693=x
90.339892665474=x
x=90.339892665474

now we have:
873.65 is 90.339892665474% of 967.07