264.45 is what percent of 1970 - 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 1970 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 1970, so we can write it down as 100%=1970.
4. We know, that x% equals 264.45 of the output value, so we can write it down as x%=264.45.
5. Now we have two simple equations:
1) 100%=1970
2) x%=264.45
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%=1970/264.45
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 264.45 is what percent of 1970

100%/x%=1970/264.45
(100/x)*x=(1970/264.45)*x       - we multiply both sides of the equation by x
100=7.4494233314426*x       - we divide both sides of the equation by (7.4494233314426) to get x
100/7.4494233314426=x
13.42385786802=x
x=13.42385786802

now we have:
264.45 is 13.42385786802% of 1970