What is 785 percent of 875 - 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 875 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 875 is 100%, so we can write it down as 875=100%.
4. We know, that x is 785% of the output value, so we can write it down as x=785%.
5. Now we have two simple equations:
1) 875=100%
2) x=785%
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:
875/x=100%/785%
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 785% of 875

875/x=100/785
(875/x)*x=(100/785)*x       - we multiply both sides of the equation by x
875=0.12738853503185*x       - we divide both sides of the equation by (0.12738853503185) to get x
875/0.12738853503185=x
6868.75=x
x=6868.75

now we have:
785% of 875=6868.75