653.16 is what percent of 733.69 - 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 733.69 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 733.69, so we can write it down as 100%=733.69.
4. We know, that x% equals 653.16 of the output value, so we can write it down as x%=653.16.
5. Now we have two simple equations:
1) 100%=733.69
2) x%=653.16
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%=733.69/653.16
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 653.16 is what percent of 733.69

100%/x%=733.69/653.16
(100/x)*x=(733.69/653.16)*x       - we multiply both sides of the equation by x
100=1.1232929144467*x       - we divide both sides of the equation by (1.1232929144467) to get x
100/1.1232929144467=x
89.023974703213=x
x=89.023974703213

now we have:
653.16 is 89.023974703213% of 733.69