1199.99 is what percent of 1359.83 - 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 1359.83 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 1359.83, so we can write it down as 100%=1359.83.
4. We know, that x% equals 1199.99 of the output value, so we can write it down as x%=1199.99.
5. Now we have two simple equations:
1) 100%=1359.83
2) x%=1199.99
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%=1359.83/1199.99
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1199.99 is what percent of 1359.83

100%/x%=1359.83/1199.99
(100/x)*x=(1359.83/1199.99)*x       - we multiply both sides of the equation by x
100=1.1332011100093*x       - we divide both sides of the equation by (1.1332011100093) to get x
100/1.1332011100093=x
88.24558952222=x
x=88.24558952222

now we have:
1199.99 is 88.24558952222% of 1359.83