79.57 is what percent of 1050 - 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 1050 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 1050, so we can write it down as 100%=1050.
4. We know, that x% equals 79.57 of the output value, so we can write it down as x%=79.57.
5. Now we have two simple equations:
1) 100%=1050
2) x%=79.57
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%=1050/79.57
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 79.57 is what percent of 1050

100%/x%=1050/79.57
(100/x)*x=(1050/79.57)*x       - we multiply both sides of the equation by x
100=13.195928113611*x       - we divide both sides of the equation by (13.195928113611) to get x
100/13.195928113611=x
7.5780952380952=x
x=7.5780952380952

now we have:
79.57 is 7.5780952380952% of 1050