70 is what percent of 3650 - 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 3650 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 3650, so we can write it down as 100%=3650.
4. We know, that x% equals 70 of the output value, so we can write it down as x%=70.
5. Now we have two simple equations:
1) 100%=3650
2) x%=70
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%=3650/70
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 70 is what percent of 3650

100%/x%=3650/70
(100/x)*x=(3650/70)*x       - we multiply both sides of the equation by x
100=52.142857142857*x       - we divide both sides of the equation by (52.142857142857) to get x
100/52.142857142857=x
1.9178082191781=x
x=1.9178082191781

now we have:
70 is 1.9178082191781% of 3650