729.02 is what percent of 867.63 - 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 867.63 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 867.63, so we can write it down as 100%=867.63.
4. We know, that x% equals 729.02 of the output value, so we can write it down as x%=729.02.
5. Now we have two simple equations:
1) 100%=867.63
2) x%=729.02
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%=867.63/729.02
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 729.02 is what percent of 867.63

100%/x%=867.63/729.02
(100/x)*x=(867.63/729.02)*x       - we multiply both sides of the equation by x
100=1.190131957971*x       - we divide both sides of the equation by (1.190131957971) to get x
100/1.190131957971=x
84.024296070906=x
x=84.024296070906

now we have:
729.02 is 84.024296070906% of 867.63