What is 745 percent of 1.49 - 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 1.49 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 1.49 is 100%, so we can write it down as 1.49=100%.
4. We know, that x is 745% of the output value, so we can write it down as x=745%.
5. Now we have two simple equations:
1) 1.49=100%
2) x=745%
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:
1.49/x=100%/745%
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 745% of 1.49

1.49/x=100/745
(1.49/x)*x=(100/745)*x       - we multiply both sides of the equation by x
1.49=0.13422818791946*x       - we divide both sides of the equation by (0.13422818791946) to get x
1.49/0.13422818791946=x
11.1005=x
x=11.1005

now we have:
745% of 1.49=11.1005