69.9 is what percent of 3487.05 - 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 3487.05 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 3487.05, so we can write it down as 100%=3487.05.
4. We know, that x% equals 69.9 of the output value, so we can write it down as x%=69.9.
5. Now we have two simple equations:
1) 100%=3487.05
2) x%=69.9
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%=3487.05/69.9
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 69.9 is what percent of 3487.05

100%/x%=3487.05/69.9
(100/x)*x=(3487.05/69.9)*x       - we multiply both sides of the equation by x
100=49.886266094421*x       - we divide both sides of the equation by (49.886266094421) to get x
100/49.886266094421=x
2.004559728137=x
x=2.004559728137

now we have:
69.9 is 2.004559728137% of 3487.05