10.76 is what percent of 18.07 - 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 18.07 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 18.07, so we can write it down as 100%=18.07.
4. We know, that x% equals 10.76 of the output value, so we can write it down as x%=10.76.
5. Now we have two simple equations:
1) 100%=18.07
2) x%=10.76
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%=18.07/10.76
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 10.76 is what percent of 18.07

100%/x%=18.07/10.76
(100/x)*x=(18.07/10.76)*x       - we multiply both sides of the equation by x
100=1.6793680297398*x       - we divide both sides of the equation by (1.6793680297398) to get x
100/1.6793680297398=x
59.546209186497=x
x=59.546209186497

now we have:
10.76 is 59.546209186497% of 18.07