What is 597.5 percent of 840 - 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 840 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 840 is 100%, so we can write it down as 840=100%.
4. We know, that x is 597.5% of the output value, so we can write it down as x=597.5%.
5. Now we have two simple equations:
1) 840=100%
2) x=597.5%
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:
840/x=100%/597.5%
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 597.5% of 840

840/x=100/597.5
(840/x)*x=(100/597.5)*x       - we multiply both sides of the equation by x
840=0.1673640167364*x       - we divide both sides of the equation by (0.1673640167364) to get x
840/0.1673640167364=x
5019=x
x=5019

now we have:
597.5% of 840=5019