What is 26.15 percent of 10.46 - 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 10.46 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 10.46 is 100%, so we can write it down as 10.46=100%.
4. We know, that x is 26.15% of the output value, so we can write it down as x=26.15%.
5. Now we have two simple equations:
1) 10.46=100%
2) x=26.15%
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:
10.46/x=100%/26.15%
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 26.15% of 10.46

10.46/x=100/26.15
(10.46/x)*x=(100/26.15)*x       - we multiply both sides of the equation by x
10.46=3.8240917782027*x       - we divide both sides of the equation by (3.8240917782027) to get x
10.46/3.8240917782027=x
2.73529=x
x=2.73529

now we have:
26.15% of 10.46=2.73529