10.42 is what percent of 11.54 - 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 11.54 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 11.54, so we can write it down as 100%=11.54.
4. We know, that x% equals 10.42 of the output value, so we can write it down as x%=10.42.
5. Now we have two simple equations:
1) 100%=11.54
2) x%=10.42
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%=11.54/10.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.42 is what percent of 11.54

100%/x%=11.54/10.42
(100/x)*x=(11.54/10.42)*x       - we multiply both sides of the equation by x
100=1.1074856046065*x       - we divide both sides of the equation by (1.1074856046065) to get x
100/1.1074856046065=x
90.294627383016=x
x=90.294627383016

now we have:
10.42 is 90.294627383016% of 11.54