What is 1405 percent of 1500 - 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 1500 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 1500 is 100%, so we can write it down as 1500=100%.
4. We know, that x is 1405% of the output value, so we can write it down as x=1405%.
5. Now we have two simple equations:
1) 1500=100%
2) x=1405%
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:
1500/x=100%/1405%
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 1405% of 1500

1500/x=100/1405
(1500/x)*x=(100/1405)*x       - we multiply both sides of the equation by x
1500=0.071174377224199*x       - we divide both sides of the equation by (0.071174377224199) to get x
1500/0.071174377224199=x
21075=x
x=21075

now we have:
1405% of 1500=21075