87 is what percent of 846 - 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 846 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 100% equals 846, so we can write it down as 100%=846.
4. We know, that x% equals 87 of the output value, so we can write it down as x%=87.
5. Now we have two simple equations:
1) 100%=846
2) x%=87
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:
100%/x%=846/87
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 87 is what percent of 846

100%/x%=846/87
(100/x)*x=(846/87)*x       - we multiply both sides of the equation by x
100=9.7241379310345*x       - we divide both sides of the equation by (9.7241379310345) to get x
100/9.7241379310345=x
10.283687943262=x
x=10.283687943262

now we have:
87 is 10.283687943262% of 846