What is 878 percent of 800 - 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 800 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 800 is 100%, so we can write it down as 800=100%.
4. We know, that x is 878% of the output value, so we can write it down as x=878%.
5. Now we have two simple equations:
1) 800=100%
2) x=878%
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:
800/x=100%/878%
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 878% of 800

800/x=100/878
(800/x)*x=(100/878)*x       - we multiply both sides of the equation by x
800=0.11389521640091*x       - we divide both sides of the equation by (0.11389521640091) to get x
800/0.11389521640091=x
7024=x
x=7024

now we have:
878% of 800=7024