10.74 is what percent of 45.74 - 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 45.74 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 45.74, so we can write it down as 100%=45.74.
4. We know, that x% equals 10.74 of the output value, so we can write it down as x%=10.74.
5. Now we have two simple equations:
1) 100%=45.74
2) x%=10.74
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%=45.74/10.74
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.74 is what percent of 45.74

100%/x%=45.74/10.74
(100/x)*x=(45.74/10.74)*x       - we multiply both sides of the equation by x
100=4.2588454376164*x       - we divide both sides of the equation by (4.2588454376164) to get x
100/4.2588454376164=x
23.480542195015=x
x=23.480542195015

now we have:
10.74 is 23.480542195015% of 45.74