72.84 is what percent of 83.43 - 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 83.43 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 83.43, so we can write it down as 100%=83.43.
4. We know, that x% equals 72.84 of the output value, so we can write it down as x%=72.84.
5. Now we have two simple equations:
1) 100%=83.43
2) x%=72.84
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%=83.43/72.84
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 72.84 is what percent of 83.43

100%/x%=83.43/72.84
(100/x)*x=(83.43/72.84)*x       - we multiply both sides of the equation by x
100=1.1453871499176*x       - we divide both sides of the equation by (1.1453871499176) to get x
100/1.1453871499176=x
87.306724199928=x
x=87.306724199928

now we have:
72.84 is 87.306724199928% of 83.43