95.4 is what percent of 359.4 - 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 359.4 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 359.4, so we can write it down as 100%=359.4.
4. We know, that x% equals 95.4 of the output value, so we can write it down as x%=95.4.
5. Now we have two simple equations:
1) 100%=359.4
2) x%=95.4
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%=359.4/95.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 95.4 is what percent of 359.4

100%/x%=359.4/95.4
(100/x)*x=(359.4/95.4)*x       - we multiply both sides of the equation by x
100=3.7672955974843*x       - we divide both sides of the equation by (3.7672955974843) to get x
100/3.7672955974843=x
26.544240400668=x
x=26.544240400668

now we have:
95.4 is 26.544240400668% of 359.4