700.1 is what percent of 933.48 - 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 933.48 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 933.48, so we can write it down as 100%=933.48.
4. We know, that x% equals 700.1 of the output value, so we can write it down as x%=700.1.
5. Now we have two simple equations:
1) 100%=933.48
2) x%=700.1
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%=933.48/700.1
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 700.1 is what percent of 933.48

100%/x%=933.48/700.1
(100/x)*x=(933.48/700.1)*x       - we multiply both sides of the equation by x
100=1.3333523782317*x       - we divide both sides of the equation by (1.3333523782317) to get x
100/1.3333523782317=x
74.998928739769=x
x=74.998928739769

now we have:
700.1 is 74.998928739769% of 933.48