35 is what percent of 1362 - 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 1362 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 1362, so we can write it down as 100%=1362.
4. We know, that x% equals 35 of the output value, so we can write it down as x%=35.
5. Now we have two simple equations:
1) 100%=1362
2) x%=35
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%=1362/35
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35 is what percent of 1362

100%/x%=1362/35
(100/x)*x=(1362/35)*x       - we multiply both sides of the equation by x
100=38.914285714286*x       - we divide both sides of the equation by (38.914285714286) to get x
100/38.914285714286=x
2.5697503671072=x
x=2.5697503671072

now we have:
35 is 2.5697503671072% of 1362