1021.06 is what percent of 1342.88 - 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 1342.88 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 1342.88, so we can write it down as 100%=1342.88.
4. We know, that x% equals 1021.06 of the output value, so we can write it down as x%=1021.06.
5. Now we have two simple equations:
1) 100%=1342.88
2) x%=1021.06
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%=1342.88/1021.06
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 1021.06 is what percent of 1342.88

100%/x%=1342.88/1021.06
(100/x)*x=(1342.88/1021.06)*x       - we multiply both sides of the equation by x
100=1.3151822615713*x       - we divide both sides of the equation by (1.3151822615713) to get x
100/1.3151822615713=x
76.035088764447=x
x=76.035088764447

now we have:
1021.06 is 76.035088764447% of 1342.88