953.42 is what percent of 1370.3 - 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 1370.3 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 1370.3, so we can write it down as 100%=1370.3.
4. We know, that x% equals 953.42 of the output value, so we can write it down as x%=953.42.
5. Now we have two simple equations:
1) 100%=1370.3
2) x%=953.42
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%=1370.3/953.42
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 953.42 is what percent of 1370.3

100%/x%=1370.3/953.42
(100/x)*x=(1370.3/953.42)*x       - we multiply both sides of the equation by x
100=1.4372469635628*x       - we divide both sides of the equation by (1.4372469635628) to get x
100/1.4372469635628=x
69.577464788732=x
x=69.577464788732

now we have:
953.42 is 69.577464788732% of 1370.3