11.38 is what percent of 453.59 - 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 453.59 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 453.59, so we can write it down as 100%=453.59.
4. We know, that x% equals 11.38 of the output value, so we can write it down as x%=11.38.
5. Now we have two simple equations:
1) 100%=453.59
2) x%=11.38
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%=453.59/11.38
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 11.38 is what percent of 453.59

100%/x%=453.59/11.38
(100/x)*x=(453.59/11.38)*x       - we multiply both sides of the equation by x
100=39.858523725835*x       - we divide both sides of the equation by (39.858523725835) to get x
100/39.858523725835=x
2.5088736524174=x
x=2.5088736524174

now we have:
11.38 is 2.5088736524174% of 453.59