35.75 is what percent of 1962 - 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 1962 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 1962, so we can write it down as 100%=1962.
4. We know, that x% equals 35.75 of the output value, so we can write it down as x%=35.75.
5. Now we have two simple equations:
1) 100%=1962
2) x%=35.75
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%=1962/35.75
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 35.75 is what percent of 1962

100%/x%=1962/35.75
(100/x)*x=(1962/35.75)*x       - we multiply both sides of the equation by x
100=54.881118881119*x       - we divide both sides of the equation by (54.881118881119) to get x
100/54.881118881119=x
1.822120285423=x
x=1.822120285423

now we have:
35.75 is 1.822120285423% of 1962