75.78 is what percent of 453.64 - 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 453.64 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 453.64, so we can write it down as 100%=453.64.
4. We know, that x% equals 75.78 of the output value, so we can write it down as x%=75.78.
5. Now we have two simple equations:
1) 100%=453.64
2) x%=75.78
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%=453.64/75.78
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 75.78 is what percent of 453.64

100%/x%=453.64/75.78
(100/x)*x=(453.64/75.78)*x       - we multiply both sides of the equation by x
100=5.9862760622856*x       - we divide both sides of the equation by (5.9862760622856) to get x
100/5.9862760622856=x
16.704876113218=x
x=16.704876113218

now we have:
75.78 is 16.704876113218% of 453.64