What is 100.365 percent of 5.21 - 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 5.21 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 5.21 is 100%, so we can write it down as 5.21=100%.
4. We know, that x is 100.365% of the output value, so we can write it down as x=100.365%.
5. Now we have two simple equations:
1) 5.21=100%
2) x=100.365%
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:
5.21/x=100%/100.365%
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 100.365% of 5.21

5.21/x=100/100.365
(5.21/x)*x=(100/100.365)*x       - we multiply both sides of the equation by x
5.21=0.99636327404972*x       - we divide both sides of the equation by (0.99636327404972) to get x
5.21/0.99636327404972=x
5.2290165=x
x=5.2290165

now we have:
100.365% of 5.21=5.2290165