What is 337.5 percent of 1575 - 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 1575 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 1575 is 100%, so we can write it down as 1575=100%.
4. We know, that x is 337.5% of the output value, so we can write it down as x=337.5%.
5. Now we have two simple equations:
1) 1575=100%
2) x=337.5%
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:
1575/x=100%/337.5%
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 337.5% of 1575

1575/x=100/337.5
(1575/x)*x=(100/337.5)*x       - we multiply both sides of the equation by x
1575=0.2962962962963*x       - we divide both sides of the equation by (0.2962962962963) to get x
1575/0.2962962962963=x
5315.625=x
x=5315.625

now we have:
337.5% of 1575=5315.625