45.4 is what percent of 167.4 - 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 167.4 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 167.4, so we can write it down as 100%=167.4.
4. We know, that x% equals 45.4 of the output value, so we can write it down as x%=45.4.
5. Now we have two simple equations:
1) 100%=167.4
2) x%=45.4
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%=167.4/45.4
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 45.4 is what percent of 167.4

100%/x%=167.4/45.4
(100/x)*x=(167.4/45.4)*x       - we multiply both sides of the equation by x
100=3.6872246696035*x       - we divide both sides of the equation by (3.6872246696035) to get x
100/3.6872246696035=x
27.120669056153=x
x=27.120669056153

now we have:
45.4 is 27.120669056153% of 167.4